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searching for Graph (discrete mathematics) 398 found (935 total)

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Discrete Mathematics (journal) (186 words) [view diff] no match in snippet view article

Discrete Mathematics is a biweekly peer-reviewed scientific journal in the broad area of discrete mathematics, combinatorics, graph theory, and their
Discharging method (discrete mathematics) (1,075 words) [view diff] no match in snippet view article
April 2017), "An introduction to the discharging method via graph coloring", Discrete Mathematics, 340 (4): 766–793, arXiv:1306.4434, doi:10.1016/j.disc.2016
Fulkerson Prize (1,965 words) [view diff] no match in snippet view article find links to article
The Fulkerson Prize for outstanding papers in the area of discrete mathematics is sponsored jointly by the Mathematical Optimization Society (MOS) and
Tomaž Pisanski (1,002 words) [view diff] no match in snippet view article find links to article
mainly in discrete mathematics and graph theory. He is considered by many Slovenian mathematicians to be the "father of Slovenian discrete mathematics." As
Carsten Thomassen (mathematician) (284 words) [view diff] no match in snippet view article
Academy of Sciences and Letters. His research concerns discrete mathematics and more specifically graph theory. Thomassen received his Ph.D. in 1976 from the
Graphs and Combinatorics (205 words) [view diff] no match in snippet view article find links to article
as a second-quartile journal in discrete mathematics and theoretical computer science by SCImago Journal Rank. Graphs and Combinatorics, Springer Science+Business
Triangle-free graph (2,524 words) [view diff] no match in snippet view article find links to article
Sandi; Mulder, Henry Martyn (1999), "Median graphs and triangle-free graphs", SIAM Journal on Discrete Mathematics, 12 (1): 111–118, doi:10.1137/S0895480197323494
David Wood (mathematician) (644 words) [view diff] no match in snippet view article
is discrete mathematics and theoretical computer science, especially structural graph theory, extremal graph theory, geometric graph theory, graph colouring
Circle graph (1,694 words) [view diff] no match in snippet view article find links to article
(1985), "On the chromatic number of multiple interval graphs and overlap graphs", Discrete Mathematics, 55 (2): 161–166, doi:10.1016/0012-365X(85)90044-5
Inversion (discrete mathematics) (1,905 words) [view diff] no match in snippet view article
In computer science and discrete mathematics, an inversion in a sequence is a pair of elements that are out of their natural order. Let π {\displaystyle
Interval graph (2,640 words) [view diff] no match in snippet view article find links to article
interval graphs", SIAM Journal on Discrete Mathematics, 23 (4): 1905–1953, doi:10.1137/S0895480100373455 Eckhoff, Jürgen (1993), "Extremal interval graphs",
DIMACS (253 words) [view diff] no match in snippet view article find links to article
The Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) is a collaboration between Rutgers University, Princeton University, and
Buchholz hydra (1,215 words) [view diff] no match in snippet view article find links to article
In mathematics, especially mathematical logic, graph theory and number theory, the Buchholz hydra game is a type of hydra game, which is a single-player
Dinitz conjecture (423 words) [view diff] no match in snippet view article find links to article
Frédéric (2004). "On the choice number of claw-free perfect graphs". Discrete Mathematics. 276 (1–3): 211–218. doi:10.1016/S0012-365X(03)00292-9. MR 2046636
Douglas West (mathematician) (219 words) [view diff] no match in snippet view article
that includes West. He is the editor of the journal Discrete Mathematics. Introduction to Graph Theory - Second edition, Douglas B. West. Published by
Barnette's conjecture (1,194 words) [view diff] no match in snippet view article find links to article
D. (2000), "Nonhamiltonian 3-connected cubic planar graphs", SIAM Journal on Discrete Mathematics, 13 (1): 25–32, doi:10.1137/S0895480198348665, MR 1737931
Václav Chvátal (1,541 words) [view diff] no match in snippet view article find links to article
and the Canada Research Chair in Discrete Mathematics (2011–2014) till his retirement. Chvátal first learned of graph theory in 1964, on finding a book
Ronald Graham (4,563 words) [view diff] no match in snippet view article find links to article
of the principal architects of the rapid development worldwide of discrete mathematics in recent years". He was president of both the American Mathematical
Oum Sang-il (801 words) [view diff] no match in snippet view article find links to article
(Korean: 엄상일; born 1976) is a South Korean mathematician working in graph theory and discrete mathematics. He is a tenured professor in the Department of Mathematical
Víctor Neumann-Lara (621 words) [view diff] no match in snippet view article find links to article
Miguel A. Pizaña, Thomas Dale Porter "A hierarchy of self-clique graphs" Discrete Mathematics 282(1–3): 193–208 (2004) M. E. Frías-Armenta, Víctor Neumann-Lara
Distance-hereditary graph (2,290 words) [view diff] no match in snippet view article find links to article
In graph theory, a branch of discrete mathematics, a distance-hereditary graph (also called a completely separable graph) is a graph in which the distances
Strongly chordal graph (1,206 words) [view diff] no match in snippet view article find links to article
Graph Classes: A Survey, SIAM Monographs on Discrete Mathematics and Applications, ISBN 0-89871-432-X. Chang, G. J. (1982), K-domination and Graph Covering
Paul A. Catlin (1,724 words) [view diff] no match in snippet view article find links to article
trees". Discrete Mathematics. 309 (5): 1033–1040. doi:10.1016/j.disc.2007.11.056. Paul A. Catlin; Arthur M. Hobbs; Hong-jian Lai (2001). "Graph family
Paul Seymour (mathematician) (2,285 words) [view diff] no match in snippet view article
Seymour FRS is a British mathematician known for his work in discrete mathematics, especially graph theory. He (with others) was responsible for important progress
Discrete Applied Mathematics (185 words) [view diff] no match in snippet view article find links to article
peer-reviewed scientific journal covering algorithmic and applied areas of discrete mathematics. It is published by Elsevier and the editor-in-chief is Endre Boros
Joel Spencer (369 words) [view diff] no match in snippet view article find links to article
Mathematics in 2017, "for contributions to discrete mathematics and theory of computing, particularly random graphs and networks, Ramsey theory, logic, and
Trivially perfect graph (1,189 words) [view diff] no match in snippet view article find links to article
comparability graphs", Discrete Mathematics, 202 (1–3): 33–44, doi:10.1016/S0012-365X(98)00346-X Golumbic, Martin Charles (1978), "Trivially perfect graphs", Discrete
Paul Erdős (5,392 words) [view diff] no match in snippet view article find links to article
of the 20th century. Erdős pursued and proposed problems in discrete mathematics, graph theory, number theory, mathematical analysis, approximation theory
Minimax (3,815 words) [view diff] no match in snippet view article find links to article
Minimax (sometimes Minmax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, combinatorial game theory, statistics
Bregman–Minc inequality (917 words) [view diff] no match in snippet view article find links to article
In discrete mathematics, the Bregman–Minc inequality, or Bregman's theorem, allows one to estimate the permanent of a binary matrix via its row or column
Crispin Nash-Williams (593 words) [view diff] no match in snippet view article find links to article
mathematician. His research interest was in the field of discrete mathematics, especially graph theory. Nash-Williams was born on 19 December 1932 in Cardiff
Bivariegated graph (450 words) [view diff] no match in snippet view article find links to article
Ranjan N. (1978), "Characterization of 2-variegated graphs and of 3-variegated graphs", Discrete Mathematics, 23: 17–22, doi:10.1016/0012-365X(78)90182-6. Bhat-Nayak
Bivariegated graph (450 words) [view diff] no match in snippet view article find links to article
Ranjan N. (1978), "Characterization of 2-variegated graphs and of 3-variegated graphs", Discrete Mathematics, 23: 17–22, doi:10.1016/0012-365X(78)90182-6. Bhat-Nayak
Indifference graph (1,898 words) [view diff] no match in snippet view article find links to article
probability that a random graph is a unit interval graph, indifference graph, or proper interval graph", Discrete Mathematics, 40 (1): 21–24, doi:10
Brian Alspach (823 words) [view diff] no match in snippet view article find links to article
graphs and digraphs which was published in Discrete Mathematics (February, 1979). He discusses the isomorphism problem for a special class of graphs.
Greedy coloring (3,887 words) [view diff] no match in snippet view article find links to article
"Perfectly orderable graphs", in Berge, Claude; Chvátal, Václav (eds.), Topics in Perfect Graphs, Annals of Discrete Mathematics, vol. 21, Amsterdam:
Perfectly orderable graph (1,149 words) [view diff] no match in snippet view article find links to article
"Perfectly orderable graphs", in Berge, Claude; Chvátal, Václav (eds.), Topics in Perfect Graphs, Annals of Discrete Mathematics, vol. 21, Amsterdam:
Outerplanar graph (2,089 words) [view diff] no match in snippet view article find links to article
outerplanar graphs", Discrete Mathematics, 26 (1): 47–53, doi:10.1016/0012-365X(79)90060-8. Sysło, Maciej M.; Proskurowski, Andrzej (1983), "On Halin graphs", Graph
Peter L. Hammer (569 words) [view diff] no match in snippet view article find links to article
operations research and applied discrete mathematics through the study of pseudo-Boolean functions and their connections to graph theory and data mining. Hammer
Graham Brightwell (248 words) [view diff] no match in snippet view article find links to article
structures; partially ordered sets; algorithms; random graphs; discrete mathematics and graph theory. (Bollobás supervised his PhD on "Linear Extensions
Threshold graph (817 words) [view diff] no match in snippet view article find links to article
of Discrete Mathematics, vol. 1, Amsterdam: North-Holland, pp. 145–162. Golumbic, Martin Charles (1980), Algorithmic Graph Theory and Perfect Graphs, New
Yoshiharu Kohayakawa (275 words) [view diff] no match in snippet view article find links to article
working on discrete mathematics and probability theory. He is known for his work on Szemerédi's regularity lemma, which he extended to sparser graphs. Kohayakawa
Katalin Vesztergombi (395 words) [view diff] no match in snippet view article find links to article
the complete graph,[CQ] and graphons.[D1][D2] With László Lovász and József Pelikán, she is the author of the textbook Discrete Mathematics: Elementary
Strong perfect graph theorem (1,769 words) [view diff] no match in snippet view article find links to article
In graph theory, the strong perfect graph theorem is a forbidden graph characterization of the perfect graphs as being exactly the graphs that have neither
Cop-win graph (3,239 words) [view diff] no match in snippet view article find links to article
time of a graph", Discrete Mathematics, 309 (18): 5588–5595, doi:10.1016/j.disc.2008.04.004, MR 2567962 Gavenčiak, Tomáš (2010), "Cop-win graphs with maximum
Katherine Heinrich (554 words) [view diff] no match in snippet view article find links to article
president of the Canadian Mathematical Society. Her research interests include graph theory and the theory of combinatorial designs. Originally from Australia
Graph algebra (622 words) [view diff] no match in snippet view article find links to article
use the methods of graph theory in universal algebra and several other areas of discrete mathematics and computer science. Graph algebras have been used
Outline of combinatorics (683 words) [view diff] no match in snippet view article find links to article
Mathematics Discrete Mathematics Discrete Mathematics & Theoretical Computer Science Discrete Optimization Discussiones Mathematicae Graph Theory Electronic
E. Sampathkumar (342 words) [view diff] no match in snippet view article find links to article
of Discrete Mathematics and Applications. Retrieved 5 February 2025. "The Academy of Discrete Mathematics and Applications". The Academy of Discrete Mathematics
Crossing Numbers of Graphs (469 words) [view diff] no match in snippet view article find links to article
University, and published in 2018 by the CRC Press in their book series Discrete Mathematics and its Applications. The main text of the book has two parts, on
Graph sandwich problem (538 words) [view diff] no match in snippet view article find links to article
Golumbic, Martin Charles (2004), Algorithmic Graph Theory and Perfect Graphs, Annals of Discrete Mathematics, vol. 57 (2nd ed.), Elsevier, p. 279, ISBN 978-0-08-052696-6
Biregular graph (408 words) [view diff] no match in snippet view article find links to article
Edward R.; Ullman, Daniel H. (1997), Fractional graph theory, Wiley-Interscience Series in Discrete Mathematics and Optimization, New York: John Wiley & Sons
Chordal bipartite graph (884 words) [view diff] no match in snippet view article find links to article
chordal graphs", Discrete Mathematics, 43 (2–3): 173–189, doi:10.1016/0012-365X(83)90154-1. Golumbic, Martin Charles (1980), Algorithmic Graph Theory and
Derek Corneil (1,089 words) [view diff] no match in snippet view article find links to article
Stephan; Stewart, Lorna (1997). "Asteroidal Triple-Free Graphs". SIAM Journal on Discrete Mathematics. 10 (3): 399–430. doi:10.1137/S0895480193250125. Arnborg
Distinguishing coloring (1,309 words) [view diff] no match in snippet view article find links to article
1 for asymmetric graphs. Bogstad, Bill; Cowen, Lenore J. (2004), "The distinguishing number of the hypercube", Discrete Mathematics, 283 (1–3): 29–35
Herbert Fleischner (542 words) [view diff] no match in snippet view article find links to article
Graphs and Related Topics: Part 1, Volume 1 (= Annals of Discrete Mathematics Band 45). Elsevier, Juli 1990, ISBN 978-0-444-88395-7. Eulerian Graphs and
Fibonacci cube (1,727 words) [view diff] no match in snippet view article find links to article
Haiyuan (2009), "Fibonacci-like cubes as Z-transformation graphs", Discrete Mathematics, 309 (6): 1284–1293, doi:10.1016/j.disc.2008.01.053, MR 2510538
Erdős–Anning theorem (1,406 words) [view diff] no match in snippet view article find links to article
can also be used to check whether a point set forms an Erdős–Diophantine graph, an inextensible system of integer points with integer distances. The Erdős–Anning
Andreas Brandstädt (469 words) [view diff] no match in snippet view article find links to article
Brandstädt is an active researcher in graph algorithms, discrete mathematics, combinatorial optimization, and graph theory. A frequently used tool in his
Jeannette Janssen (443 words) [view diff] no match in snippet view article find links to article
Mathematics and Statistics, and the chair of the Activity Group on Discrete Mathematics of the Society for Industrial and Applied Mathematics. Janssen earned
Rainer Burkard (273 words) [view diff] no match in snippet view article find links to article
His research interests include discrete optimization, graph theory, applied discrete mathematics, and applied number theory. He earned his Ph.D. from the
Graph power (1,260 words) [view diff] no match in snippet view article find links to article
Kramer, Horst (2008), "A survey on the distance-colouring of graphs", Discrete Mathematics, 308 (2–3): 422–426, doi:10.1016/j.disc.2006.11.059, MR 2378044
Vladimir Batagelj (656 words) [view diff] no match in snippet view article find links to article
mathematics at the University of Ljubljana. He is known for his work in discrete mathematics and combinatorial optimization, particularly analysis of social networks
SIAM Journal on Matrix Analysis and Applications (128 words) [view diff] no match in snippet view article find links to article
and Discrete Methods in 1980, until it split into SIAM Journal on Discrete Mathematics and the current title in 1988. The journal is published by the Society
Connected dominating set (1,239 words) [view diff] no match in snippet view article find links to article
analysis for finding a k-leaf spanning tree in an undirected graph", Discrete Mathematics & Theoretical Computer Science, 16 (1): 179–200, MR 3188035.
Halin graph (2,300 words) [view diff] no match in snippet view article find links to article
Halin graphs and their exterior contractions", in Alspach, Brian R.; Godsil, Christopher D. (eds.), Cycles in Graphs, Annals of Discrete Mathematics, vol
Julius Petersen (1,477 words) [view diff] no match in snippet view article find links to article
(1992) 83–97. H. Mulder., Julius Petersen's theory of regular graphs., Discrete Mathematics 100 (1992) 157–175 O'Connor, John J.; Robertson, Edmund F.,
Adjacent-vertex-distinguishing-total coloring (777 words) [view diff] no match in snippet view article find links to article
adjacent vertex distinguishing total coloring numbers of graphs with Delta=3". Discrete Mathematics. 308 (17): 4003–4007. doi:10.1016/j.disc.2007.07.091.
Erdős–Gallai theorem (1,248 words) [view diff] no match in snippet view article find links to article
Triesch, Eberhard (1994), "Realizability and uniqueness in graphs", Discrete Mathematics, 136 (1–3): 3–20, doi:10.1016/0012-365X(94)00104-Q, MR 1313278
Michael D. Plummer (442 words) [view diff] no match in snippet view article find links to article
MR 0289347. Plummer, M. D. (1980), "On n-extendable graphs", Discrete Mathematics, 31 (2): 201–210, doi:10.1016/0012-365X(80)90037-0, MR 0583220. Books
List coloring (1,619 words) [view diff] no match in snippet view article find links to article
S2CID 45528500 Gutner, Shai (1996), "The complexity of planar graph choosability", Discrete Mathematics, 159 (1): 119–130, arXiv:0802.2668, doi:10.1016/0012-365X(95)00104-5
Mike Paterson (654 words) [view diff] no match in snippet view article find links to article
British computer scientist, who was the director of the Centre for Discrete Mathematics and its Applications (DIMAP) at the University of Warwick until 2007
Ellingham–Horton graph (444 words) [view diff] no match in snippet view article find links to article
MathWorld. Tutte, W. T. (1971), "On the 2-factors of bicubic graphs", Discrete Mathematics, 1 (2): 203–208, doi:10.1016/0012-365X(71)90027-6. Jessica Wolz
Component (graph theory) (3,443 words) [view diff] no match in snippet view article
258–259, MR 0100850 Chvátal, Václav (1973), "Tough graphs and Hamiltonian circuits", Discrete Mathematics, 5 (3): 215–228, doi:10.1016/0012-365X(73)90138-6
Zdzisław Skupień (214 words) [view diff] no match in snippet view article find links to article
2025) was a Polish mathematician, expert in optimization, discrete mathematics, and graph theory, academic, and dr. hab. (1982). Skupień was born in
Comparability graph (1,398 words) [view diff] no match in snippet view article find links to article
Andreas; Le, Van Bang; Spinrad, Jeremy (1999), Graph Classes: A Survey, SIAM Monographs on Discrete Mathematics and Applications, ISBN 0-89871-432-X. Chartrand
Snark (graph theory) (2,760 words) [view diff] no match in snippet view article
International Symposium on Combinatorics, Graph Theory, Algorithms and Applications, Electronic Notes in Discrete Mathematics, vol. 28, pp. 417–424, doi:10.1016/j
Maria Chudnovsky (784 words) [view diff] no match in snippet view article find links to article
Henri (2009), "The strong perfect graph conjecture: 40 years of attempts, and its resolution", Discrete Mathematics, 309 (20): 6092–6113, CiteSeerX 10
Hamiltonian decomposition (1,763 words) [view diff] no match in snippet view article find links to article
colourable graphs", Advances in graph theory (Cambridge Combinatorial Conf., Trinity College, Cambridge, 1977), Annals of Discrete Mathematics, vol. 3,
Snake-in-the-box (1,581 words) [view diff] no match in snippet view article find links to article
bounds for the snake-in-the-box problem include proofs using discrete mathematics and graph theory, exhaustive search of the search space, and heuristic
Michael Dinneen (292 words) [view diff] no match in snippet view article find links to article
Center for Discrete Mathematics and Theoretical Computer Science. He does research in combinatorial optimization, distributed computing, and graph theory
Hypertree (622 words) [view diff] no match in snippet view article find links to article
Andreas; Le, Van Bang; Spinrad, Jeremy (1999), Graph Classes: A Survey, SIAM Monographs on Discrete Mathematics and Applications, ISBN 0-89871-432-X, MR 1686154
Joan Hutchinson (882 words) [view diff] no match in snippet view article find links to article
of Graph Theory since 1993. Her research has focused on graph theory and discrete mathematics, specializing mainly in topological and chromatic graph theory
Mihyun Kang (261 words) [view diff] no match in snippet view article find links to article
including graph enumeration and the topological properties of random graphs. She is a professor in the Institute of Discrete Mathematics at the Graz
S. L. Hakimi (587 words) [view diff] no match in snippet view article find links to article
Havel–Hakimi theorem", How to Count: An Introduction to Combinatorics, Discrete Mathematics and Its Applications (2nd ed.), CRC Press, p. 159, ISBN 9781420082616
Dominique de Caen (972 words) [view diff] no match in snippet view article find links to article
(1998). "An upper bound on the sum of squares of degrees in a graph". Discrete Mathematics. 185 (1–3): 245–248. doi:10.1016/S0012-365X(97)00213-6. Dominique
Haruo Hosoya (321 words) [view diff] no match in snippet view article find links to article
University, Tokyo, Japan. He is the namesake of the Hosoya index used in discrete mathematics and computational chemistry. Hosoya was born in Kamakura, Japan to
Pancake sorting (2,201 words) [view diff] no match in snippet view article find links to article
Papadimitriou, C. (1979). "Bounds for Sorting by Prefix Reversal". Discrete Mathematics. 27: 47–57. doi:10.1016/0012-365X(79)90068-2. "Team Bests Young Bill
Sphericity (graph theory) (446 words) [view diff] no match in snippet view article
Hiroshi (1986-03-01). "On the sphericity of the graphs of semiregular polyhedra". Discrete Mathematics. 58 (3): 311–315. doi:10.1016/0012-365X(86)90150-0
Lorna Stewart (272 words) [view diff] no match in snippet view article find links to article
Stewart, Lorna (1993), "Domination on cocomparability graphs", SIAM Journal on Discrete Mathematics, 6 (3): 400–417, doi:10.1137/0406032, MR 1229694, Zbl 0780
Arborescence (graph theory) (782 words) [view diff] no match in snippet view article
(2013). Graphs Theory and Applications: With Exercises and Problems. John Wiley & Sons. pp. 94–95. ISBN 978-1-84821-070-7. Jean Gallier (2011). Discrete Mathematics
Boxicity (1,554 words) [view diff] no match in snippet view article find links to article
Przytycka, Teresa; Whitesides, Sue (1993), "Grid intersection graphs and boxicity", Discrete Mathematics, 114 (1–3): 41–49, doi:10.1016/0012-365X(93)90354-V. Berman
Erdős–Ko–Rado theorem (5,592 words) [view diff] no match in snippet view article find links to article
(2016), "Removal and stability for Erdős–Ko–Rado", SIAM Journal on Discrete Mathematics, 30 (2): 1102–1114, doi:10.1137/15M105149X, MR 3504983 Deza, Michel;
Incidence poset (423 words) [view diff] no match in snippet view article find links to article
"The maximum number of edges in a graph of bounded dimension, with applications to ring theory", Discrete Mathematics, 201 (1–3): 5–19, doi:10.1016/S0012-365X(98)00309-4
Median graph (6,003 words) [view diff] no match in snippet view article find links to article
Sandi; Mulder, Henry Martyn (1999), "Median graphs and triangle-free graphs", SIAM Journal on Discrete Mathematics, 12 (1): 111–118, CiteSeerX 10.1.1.28.5906
Gregory Gutin (251 words) [view diff] no match in snippet view article find links to article
17 January 1957) is a scholar in theoretical computer science and discrete mathematics. He received his PhD in Mathematics in 1993 from Tel Aviv University
Universal vertex (1,942 words) [view diff] no match in snippet view article find links to article
serial graphs", Discrete Mathematics, 282 (1–3): 183–191, doi:10.1016/j.disc.2003.10.023, MR 2059518. Bonato, Anthony (2008), A course on the web graph, Graduate
Dually chordal graph (873 words) [view diff] no match in snippet view article find links to article
in Intersection Graph Theory, SIAM Monographs on Discrete Mathematics and Applications. Moscarini, Marina (1993), "Doubly Chordal Graphs, Steiner trees
Lexicographic breadth-first search (1,729 words) [view diff] no match in snippet view article find links to article
Andreas; Le, Van Bang; Spinrad, Jeremy (1999), Graph Classes: A Survey, SIAM Monographs on Discrete Mathematics and Applications, ISBN 0-89871-432-X. Bretscher
Claude Berge (2,396 words) [view diff] no match in snippet view article find links to article
perfect graph conjecture", Discrete Mathematics, 2 (3): 253–267, doi:10.1016/0012-365X(72)90006-4. —— (1972b), "A characterization of perfect graphs", Journal
Balanced hypergraph (1,293 words) [view diff] no match in snippet view article find links to article
L. (1972-06-01). "Normal hypergraphs and the perfect graph conjecture". Discrete Mathematics. 2 (3): 253–267. doi:10.1016/0012-365X(72)90006-4. ISSN 0012-365X
Handshaking lemma (3,598 words) [view diff] no match in snippet view article find links to article
colourable graphs", Advances in Graph Theory (Cambridge Combinatorial Conf., Trinity College, Cambridge, 1977), Annals of Discrete Mathematics, vol. 3,
János Pach (1,304 words) [view diff] no match in snippet view article find links to article
journals including Combinatorica, SIAM Journal on Discrete Mathematics, Computational Geometry, Graphs and Combinatorics, Central European Journal of Mathematics
Jaroslav Nešetřil (726 words) [view diff] no match in snippet view article find links to article
in discrete mathematics at Charles University”. Scholia has a profile for Jaroslav Nešetřil (Q956806). Hell, Pavol; Nešetřil, Jaroslav (2004). Graphs and
Grötzsch graph (980 words) [view diff] no match in snippet view article find links to article
Simonovits, M. (1973), "On a valence problem in extremal graph theory", Discrete Mathematics, 5 (4): 323–334, doi:10.1016/0012-365X(73)90126-X, MR 0342429
Grundy number (1,355 words) [view diff] no match in snippet view article find links to article
graphs", Discrete Mathematics, 306 (23): 3166–3173, doi:10.1016/j.disc.2005.06.044, MR 2273147. Johnson, D. S. (1974), "Worst-case behavior of graph coloring
Dénes Kőnig (796 words) [view diff] no match in snippet view article find links to article
Mathematics Activity Group on Discrete Mathematics to an early career researcher for outstanding research in an area of discrete mathematics. The first award was
Linear function (652 words) [view diff] no match in snippet view article find links to article
Programming", in Leslie Hogben, ed., Handbook of Linear Algebra, Discrete Mathematics and Its Applications, Chapman and Hall/CRC, chap. 50. ISBN 1-584-88510-6
Martin Aigner (517 words) [view diff] no match in snippet view article find links to article
in Enumeration, 2007, ISBN 3-540-39032-4 Aigner, Martin (2007). Discrete mathematics. Providence, R.I.: American Mathematical Society. ISBN 978-0-8218-4151-8
Gallai–Hasse–Roy–Vitaver theorem (1,869 words) [view diff] no match in snippet view article find links to article
"Theorem 7.17 (The Gallai–Roy–Vitaver Theorem)", Chromatic Graph Theory, Discrete Mathematics and its Applications, Boca Raton, Florida: CRC Press, ISBN 978-1-58488-800-0
Burr–Erdős conjecture (859 words) [view diff] no match in snippet view article find links to article
MR 0714447. Eaton, Nancy (1998), "Ramsey numbers for sparse graphs", Discrete Mathematics, 185 (1–3): 63–75, doi:10.1016/S0012-365X(97)00184-2, MR 1614289
Petersen's theorem (1,479 words) [view diff] no match in snippet view article find links to article
Johansson, Robert (2004), "A note on edge-decompositions of planar graphs", Discrete Mathematics, 283 (1–3): 263–266, doi:10.1016/j.disc.2003.11.017, MR 2061501
Hajós construction (1,470 words) [view diff] no match in snippet view article find links to article
high edge density", Discrete Mathematics, 98 (2): 147–151, doi:10.1016/0012-365X(91)90039-5, MR 1144633. Kubale, Marek (2004), Graph Colorings, Contemporary
Claw-free graph (3,989 words) [view diff] no match in snippet view article find links to article
Flandrin, Evelyne; Ryjáček, Zdeněk (1997), "Claw-free graphs — A survey", Discrete Mathematics, 164 (1–3): 87–147, doi:10.1016/S0012-365X(96)00045-3,
Oberwolfach problem (1,464 words) [view diff] no match in snippet view article find links to article
mathematics For which 2-regular n {\displaystyle n} -vertex graphs G {\displaystyle G} can the complete graph K n {\displaystyle K_{n}} be decomposed into edge-disjoint
Caterpillar tree (1,205 words) [view diff] no match in snippet view article find links to article
Andrzej; Telle, Jan Arne (1999), "Classes of graphs with restricted interval models" (PDF), Discrete Mathematics and Theoretical Computer Science, 3: 167–176
Jacob Fox (438 words) [view diff] no match in snippet view article find links to article
Society for Industrial and Applied Mathematics Activity Group on Discrete Mathematics. He was an invited speaker at the International Congress of Mathematicians
Turán graph (1,262 words) [view diff] no match in snippet view article find links to article
Chao, C. Y.; Novacky, G. A. (1982). "On maximally saturated graphs". Discrete Mathematics. 41 (2): 139–143. doi:10.1016/0012-365X(82)90200-X. Falls, Craig;
Line graph (5,368 words) [view diff] no match in snippet view article find links to article
graph and voltage-current duality", Discrete Mathematics, 104 (2): 111–141, doi:10.1016/0012-365X(92)90328-D, MR 1172842. McKee, T. A. (1989), "Graph-theoretic
János Komlós (mathematician) (770 words) [view diff] no match in snippet view article
Hungarian-American mathematician, working in probability theory and discrete mathematics. He has been a professor of mathematics at Rutgers University since
Gabriel Andrew Dirac (468 words) [view diff] no match in snippet view article find links to article
Thomassen, B. Toft, and P. Vestergaard (eds.), Graph Theory in Memory of G.A. Dirac, Annals of Discrete Mathematics, volume 41, North-Holland, 1989. ISBN 0-444-87129-2
Rado's theorem (Ramsey theory) (606 words) [view diff] no match in snippet view article
system of linear equations is regular is also an NP-complete problem. Modern graph theory by Béla Bollobás. 1st ed. 1998. ISBN 978-0-387-98488-9. Page 204
Antimatroid (4,947 words) [view diff] no match in snippet view article find links to article
European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2009), Electronic Notes in Discrete Mathematics, vol. 34, pp. 9–13, doi:10.1016/j
Reconfiguration (1,182 words) [view diff] no match in snippet view article find links to article
In discrete mathematics and theoretical computer science, reconfiguration problems are computational problems involving reachability or connectivity of
T-theory (256 words) [view diff] no match in snippet view article find links to article
T-theory is a branch of discrete mathematics dealing with analysis of trees and discrete metric spaces. T-theory originated from a question raised by Manfred
Apollonian network (4,752 words) [view diff] no match in snippet view article find links to article
proceedings of the Conference on Convexity and Graph Theory, Israel, March 1981, Annals of Discrete Mathematics 20, North-Holland Mathematical Studies 87,
Jo Ellis-Monaghan (333 words) [view diff] no match in snippet view article find links to article
positions at the University of Vermont. In 2020, she became professor of Discrete Mathematics at the University of Amsterdam. From 2010-2020, she served as a subject
Robbins' theorem (1,040 words) [view diff] no match in snippet view article find links to article
"Characterization of strongly orientable graphs", Graph Theory and its Applications, Discrete Mathematics and its Applications (2nd ed.), Boca Raton
Fred S. Roberts (505 words) [view diff] no match in snippet view article find links to article
center concept". In 2003, DIMACS held a Conference on Applications of Discrete Mathematics and Theoretical Computer Science, in honor of Roberts' 60th birthday
Woodall's conjecture (621 words) [view diff] no match in snippet view article find links to article
(PDF), Discrete Mathematics, 32 (2): 213–215, doi:10.1016/0012-365X(80)90057-6, MR 0592858 Lovász, László (1976), "On two minimax theorems in graph", Journal
Tree (graph theory) (3,385 words) [view diff] no match in snippet view article
trees", Discrete Mathematics, 88 (1): 93–104, doi:10.1016/0012-365X(91)90061-6, MR 1099270. Wikimedia Commons has media related to Tree (graph theory)
Möbius–Kantor graph (1,599 words) [view diff] no match in snippet view article find links to article
Contributions to Discrete Mathematics, 4 (1): 21–39, MR 2541986. Lijnen, Erwin; Ceulemans, Arnout (2004), "Oriented 2-Cell Embeddings of a Graph and Their Symmetry
Sarah-marie belcastro (1,133 words) [view diff] no match in snippet view article find links to article
(2015). "Triangle-free uniquely 3-edge colorable cubic graphs". Contributions to Discrete Mathematics. 10 (2): 39–44. arXiv:1508.06934. doi:10.11575/cdm.v10i2
George J. Minty (1,102 words) [view diff] no match in snippet view article find links to article
American mathematician, specializing in mathematical analysis and discrete mathematics. He is known for the Klee–Minty cube, the Browder–Minty theorem,
Schnyder's theorem (630 words) [view diff] no match in snippet view article find links to article
In graph theory, Schnyder's theorem is a characterization of planar graphs in terms of the order dimension of their incidence posets. It is named after
Ralph Gordon Stanton (992 words) [view diff] no match in snippet view article find links to article
As a researcher, he made important contributions in the area of discrete mathematics; and as an educator and administrator, was also instrumental in founding
Even-hole-free graph (727 words) [view diff] no match in snippet view article find links to article
Vušković, Kristina (2010), "Even-hole-free graphs: a survey" (PDF), Applicable Analysis and Discrete Mathematics, 4 (2): 219–240, doi:10.2298/AADM100812027V
Dieter Jungnickel (414 words) [view diff] no match in snippet view article find links to article
Jungnickel joined Augsburg University where he occupies the chair for discrete mathematics, optimisation, and operations research. Jungnickel wrote about finite
Well-colored graph (444 words) [view diff] no match in snippet view article find links to article
Pierre; Kuplinsky, Julio (1991), "The smallest hard-to-color graph", Discrete Mathematics, 96 (3): 199–212, doi:10.1016/0012-365X(91)90313-Q, MR 1139447
Nathaniel Dean (mathematician) (1,046 words) [view diff] no match in snippet view article
Joseph; Franzblau, Deborah; Roberts, Fred (1997). Discrete Mathematics in the Schools. Discrete Mathematics and Theoretical Computer Science. Vol. 36 (1 ed
Chordal graph (2,164 words) [view diff] no match in snippet view article find links to article
path graphs", SIAM Journal on Discrete Mathematics, 7 (2): 331–336, doi:10.1137/s0895480191223191, hdl:11422/1497. Information System on Graph Class
András Hajnal (1,913 words) [view diff] no match in snippet view article find links to article
Discrete Mathematics, 308 (19): 4337–4360, doi:10.1016/j.disc.2007.08.019, MR 2433861 Erdős, P.; Hajnal, A.; Moon, J. W. (1964), "A problem in graph theory"
Svatopluk Poljak (366 words) [view diff] no match in snippet view article find links to article
diverse areas of discrete mathematics, including matroid theory, matching theory, the max-cut and stable set problems, spectral graph theory, convex and
Radius (1,199 words) [view diff] no match in snippet view article find links to article
Andrew M. Gleason (ed.). Advanced Mathematics: Precalculus with Discrete Mathematics and Data Analysis. Evanston, Illinois: McDougal Littell. ISBN 0-395-77114-5
List of unsolved problems in mathematics (20,120 words) [view diff] no match in snippet view article find links to article
conjecture holds for the product of a graph and a sufficiently large complete bipartite graph". Discrete Mathematics, Algorithms and Applications. 11 (6):
Well-covered graph (3,372 words) [view diff] no match in snippet view article find links to article
Peter J. (1993), "A note on well-covered graphs", Quo vadis, graph theory?, Annals of Discrete Mathematics, vol. 55, Amsterdam: North-Holland, pp. 179–181
Svatopluk Poljak (366 words) [view diff] no match in snippet view article find links to article
diverse areas of discrete mathematics, including matroid theory, matching theory, the max-cut and stable set problems, spectral graph theory, convex and
Circular-arc graph (866 words) [view diff] no match in snippet view article find links to article
"LLT polynomials, chromatic quasisymmetric functions and graphs with cycles". Discrete Mathematics. 341 (12): 3453–3482. arXiv:1705.10353. doi:10.1016/j
(a, b)-decomposition (810 words) [view diff] no match in snippet view article
Qijun (2011). "Decomposing a planar graph with girth at least 8 into a forest and a matching". Discrete Mathematics. 311 (10–11): 844–849. doi:10.1016/j
Pancyclic graph (1,638 words) [view diff] no match in snippet view article find links to article
Halin graphs and their exterior contractions", in Alspach, Brian R.; Godsil, Christopher D. (eds.), Cycles in Graphs, Annals of Discrete Mathematics, vol
Kőnig's theorem (graph theory) (3,433 words) [view diff] no match in snippet view article
in Discrete Mathematics and Optimization, vol. 33, John Wiley & Sons, pp. 48–49, ISBN 9781118031391. Bondy, J. A.; Murty, U. S. R. (1976), Graph Theory
Béla Andrásfai (480 words) [view diff] no match in snippet view article find links to article
Mathematical Sciences. Designer and subject lecturer of the course Discrete Mathematics. At the invitation of the Mathematical Institute of the Eötvös Loránd
Maya Stein (382 words) [view diff] no match in snippet view article find links to article
Innovations in Graph Theory Editor-in-Chief for Electronic Journal of Combinatorics Associate editor for SIAM Journal on Discrete Mathematics Associate editor
2-factor theorem (504 words) [view diff] no match in snippet view article find links to article
Mulder, H. (1992), "Julius Petersen's theory of regular graphs", Discrete Mathematics, 100 (1–3): 157–175, doi:10.1016/0012-365X(92)90639-W. Lützen
Conway's 99-graph problem (709 words) [view diff] no match in snippet view article find links to article
of strongly regular graphs with parameters λ = 1 {\displaystyle \lambda =1} , μ = 2 {\displaystyle \mu =2} ", Discrete Mathematics and Applications, 14
Lajos Pósa (mathematician) (1,269 words) [view diff] no match in snippet view article
Amsterdam, 1975, 585-595. L. Pósa: Hamiltonian circuits in random graphs, Discrete Mathematics, 14 (1976), 359-364. Pósa Lajos: Véletlen gráfok Hamilton körei
Clique-sum (1,178 words) [view diff] no match in snippet view article find links to article
completable graphs", Discrete Mathematics, 159 (1–3): 155–160, doi:10.1016/0012-365X(95)00107-8, MR 1415290. Lovász, László (2006), "Graph minor theory"
Perfect graph theorem (1,594 words) [view diff] no match in snippet view article find links to article
Lovász, László (1972a), "Normal hypergraphs and the perfect graph conjecture", Discrete Mathematics, 2 (3): 253–267, doi:10.1016/0012-365X(72)90006-4. Lovász
Closure problem (1,622 words) [view diff] no match in snippet view article find links to article
In graph theory and combinatorial optimization, a closure of a directed graph is a set of vertices C, such that no edges leave C. The closure problem is
Complete bipartite graph (960 words) [view diff] no match in snippet view article find links to article
ISBN 9783642322785. Jensen, Tommy R.; Toft, Bjarne (2011), Graph Coloring Problems, Wiley Series in Discrete Mathematics and Optimization, vol. 39, Wiley, p. 16, ISBN 9781118030745
Fixed-point theorem (1,278 words) [view diff] no match in snippet view article find links to article
and thus must have a fixed point. This is clear when examining a sketched graph of the cosine function; the fixed point occurs where the cosine curve y
End (graph theory) (3,112 words) [view diff] no match in snippet view article
Diestel, Reinhard (1992), "The end structure of a graph: recent results and open problems", Discrete Mathematics, 100 (1–3): 313–327, doi:10.1016/0012-365X(92)90650-5
Loupekine snark (481 words) [view diff] no match in snippet view article find links to article
Gordon I. (2024), "Rotationally symmetric snarks from voltage graphs", Discrete Mathematics, 347 (4): Paper No. 113874, 15, doi:10.1016/j.disc.2024.113874
Pseudoforest (4,054 words) [view diff] no match in snippet view article find links to article
G. E. (1988), "Parallel symmetry-breaking in sparse graphs", SIAM Journal on Discrete Mathematics, 1 (4): 434–446, doi:10.1137/0401044. Konyagin, Sergei;
Jack Edmonds (1,543 words) [view diff] no match in snippet view article find links to article
fields of combinatorial optimization, polyhedral combinatorics, discrete mathematics and the theory of computing. He was the recipient of the 1985 John
Grinberg's theorem (1,161 words) [view diff] no match in snippet view article find links to article
"Non-Hamiltonian non-Grinbergian graphs", Discrete Mathematics, 17 (3): 317–321, doi:10.1016/0012-365X(77)90165-0, MR 0460189 Grinberg Graphs, from MathWorld.
Mathematical chemistry (570 words) [view diff] no match in snippet view article find links to article
chemistry. Major areas of research in mathematical chemistry include chemical graph theory, which deals with topology such as the mathematical study of isomerism
Möbius ladder (1,383 words) [view diff] no match in snippet view article find links to article
ladder". Discrete Mathematics. 184 (1–3): 137–164. doi:10.1016/S0012-365X(97)00086-1. MR 1609294. De Mier, Anna; Noy, Marc (2004). "On graphs determined
Linear extension (1,494 words) [view diff] no match in snippet view article find links to article
Martin (1999), "Faster random generation of linear extensions", Discrete Mathematics, 201 (1–3): 81–88, doi:10.1016/S0012-365X(98)00333-1, S2CID 2942330
Steiner tree problem (4,416 words) [view diff] no match in snippet view article find links to article
Jaroslav (2001), "Vojtěch Jarnik's work in combinatorial optimization", Discrete Mathematics, 235 (1–3): 1–17, doi:10.1016/S0012-365X(00)00256-9, hdl:10338.dmlcz/500662
Collaboration graph (1,056 words) [view diff] no match in snippet view article find links to article
Graph theory – Area of discrete mathematics Odda, Tom (1979). "On properties of a well-known graph or what is your Ramsey number? Topics in graph theory"
Gary Chartrand (470 words) [view diff] no match in snippet view article find links to article
Linda Lesniak and Ping Zhang) Graphs & Digraphs, 5th edition, CRC Press MR2766107. 2010: (with Ping Zhang) Discrete Mathematics, Waveland Press. 2012: (with
Egon Zakrajšek (344 words) [view diff] no match in snippet view article find links to article
sciences, statistics, mechanics, classical applied mathematics, discrete mathematics, graph and network theory, linear programming, operational researches
Wheel graph (589 words) [view diff] no match in snippet view article find links to article
Paley graph nor its complement contains a copy of K4. Weisstein, Eric W. "Wheel Graph". MathWorld. Rosen, Kenneth H. (2011). Discrete Mathematics and Its
Polyhedral graph (850 words) [view diff] no match in snippet view article find links to article
Owens, Peter J. (1999), "Shortness parameters for polyhedral graphs", Discrete Mathematics, 206 (1–3): 159–169, doi:10.1016/S0012-365X(98)00402-6, MR 1665396
Hedetniemi's conjecture (1,853 words) [view diff] no match in snippet view article find links to article
Combinatorics and More. Klavžar, Sandi (1996), "Coloring graph products: a survey", Discrete Mathematics, 155 (1–3): 135–145, doi:10.1016/0012-365X(94)00377-U
Rigidity matroid (2,242 words) [view diff] no match in snippet view article find links to article
freedom of an undirected graph with rigid edges of fixed lengths, embedded into Euclidean space. In a rigidity matroid for a graph with n vertices in d-dimensional
Svante Janson (1,139 words) [view diff] no match in snippet view article find links to article
Łuczak, Tomasz; Rucinski, Andrzej (2000). Random graphs. Wiley-Interscience Series in Discrete Mathematics and Optimization. New York: Wiley-Interscience
Graph enumeration (554 words) [view diff] no match in snippet view article find links to article
Frank; Schwenk, Allen J. (1973), "The number of caterpillars" (PDF), Discrete Mathematics, 6 (4): 359–365, doi:10.1016/0012-365x(73)90067-8, hdl:2027.42/33977
Mehdi Behzad (1,189 words) [view diff] no match in snippet view article find links to article
(2008). "On the domination number of the generalized Petersen graphs". Discrete Mathematics. 308 (4): 603–610. doi:10.1016/j.disc.2007.03.024. Behzad, Arash;
Svante Janson (1,139 words) [view diff] no match in snippet view article find links to article
Łuczak, Tomasz; Rucinski, Andrzej (2000). Random graphs. Wiley-Interscience Series in Discrete Mathematics and Optimization. New York: Wiley-Interscience
Radio coloring (638 words) [view diff] no match in snippet view article find links to article
R.; Yeh, Roger K. (1992), "Labelling graphs with a condition at distance 2", SIAM Journal on Discrete Mathematics, 5 (4): 586–595, doi:10.1137/0405048
Reinhard Diestel (402 words) [view diff] no match in snippet view article find links to article
in graph theory, including the interplay among graph minors, matroid theory, tree decomposition, and infinite graphs. He holds the chair of discrete mathematics
V. J. Havel (121 words) [view diff] no match in snippet view article find links to article
Havel–Hakimi theorem", How to Count: An Introduction to Combinatorics, Discrete Mathematics and Its Applications (2nd ed.), CRC Press, p. 159, ISBN 9781420082616
Wolfram (software) (1,749 words) [view diff] no match in snippet view article
basis of the Combinatorica package, which adds discrete mathematics functionality in combinatorics and graph theory to the program. Communication with other
Wiener index (1,871 words) [view diff] no match in snippet view article find links to article
Gutman, Ivan (1994), "On the sum of all distances in composite graphs", Discrete Mathematics, 135 (1–3): 359–365, doi:10.1016/0012-365X(93)E0092-I, MR 1310892
András Sebő (563 words) [view diff] no match in snippet view article find links to article
mathematician working in the areas of combinatorial optimization and discrete mathematics. Sebő is a French National Centre for Scientific Research (CNRS)
Split (graph theory) (1,328 words) [view diff] no match in snippet view article
In graph theory, a split of an undirected graph is a cut whose cut-set forms a complete bipartite graph. A graph is prime if it has no splits. The splits
Levi graph (601 words) [view diff] no match in snippet view article find links to article
In combinatorial mathematics, a Levi graph or incidence graph is a bipartite graph associated with an incidence structure. From a collection of points
Dilworth's theorem (2,445 words) [view diff] no match in snippet view article find links to article
Lovász, László (1972), "Normal hypergraphs and the perfect graph conjecture", Discrete Mathematics, 2 (3): 253–267, doi:10.1016/0012-365X(72)90006-4. Mirsky
Mathematics (15,943 words) [view diff] no match in snippet view article find links to article
and other parts of discrete mathematics. For example, discrete geometry includes counting configurations of geometric shapes. Graph theory and hypergraphs
John Truss (1,358 words) [view diff] no match in snippet view article find links to article
lastly joining the University of Leeds. He has written books on discrete mathematics (1991) and mathematical analysis (1997) and was co-editor in chief
Moser spindle (1,530 words) [view diff] no match in snippet view article find links to article
(1989), "Minimax relations for the partial q-colorings of a graph", Discrete Mathematics, 74 (1–2): 3–14, doi:10.1016/0012-365X(89)90193-3, MR 0989117
Erdős–Szemerédi theorem (2,731 words) [view diff] no match in snippet view article find links to article
"The sum-product phenomenon in arbitrary rings", Contributions to Discrete Mathematics, 4 (2): 59–82, arXiv:0806.2497, Bibcode:2008arXiv0806.2497T, doi:10
Star (graph theory) (743 words) [view diff] no match in snippet view article
Flandrin, Evelyne; Ryjáček, Zdeněk (1997), "Claw-free graphs — A survey", Discrete Mathematics, 164 (1–3): 87–147, doi:10.1016/S0012-365X(96)00045-3,
Floyd–Warshall algorithm (3,017 words) [view diff] no match in snippet view article find links to article
ISBN 9783031799839. Gross, Jonathan L.; Yellen, Jay (2003). Handbook of Graph Theory. Discrete Mathematics and Its Applications. CRC Press. p. 65. ISBN 9780203490204
Steven Skiena (719 words) [view diff] no match in snippet view article find links to article
Sriram; Skiena, Steven (15 October 2009). Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematics (1st ed.). Cambridge University
Daniel Kleitman (860 words) [view diff] no match in snippet view article find links to article
Peck, G. W. (2002). "Kleitman and Combinatorics: A Celebration". Discrete Mathematics. 257 (2–3): 193–224. doi:10.1016/S0012-365X(02)00595-2. MR 1935723
Treewidth (4,569 words) [view diff] no match in snippet view article find links to article
In graph theory, the treewidth of an undirected graph is an integer number which specifies, informally, how far the graph is from being a tree. The smallest
Deficiency (graph theory) (1,145 words) [view diff] no match in snippet view article
Ralf (2018-10-01). "Hall's and Kőnig's theorem in graphs and hypergraphs". Discrete Mathematics. 341 (10): 2753–2761. doi:10.1016/j.disc.2018.06.013
Periodic graph (crystallography) (2,541 words) [view diff] no match in snippet view article
Periodic Graphs" (PDF), DIMACS Series in Discrete Mathematics and Theoretical Computer Science 4: Applied Geometry and Discrete Mathematics, DIMACS Series
Scheinerman's conjecture (822 words) [view diff] no match in snippet view article find links to article
I. B.-A.; Newman, I.; Ziv, R. (1991), "On grid intersection graphs", Discrete Mathematics, 87 (1): 41–52, doi:10.1016/0012-365X(91)90069-E, MR 1090188
Sachs subgraph (338 words) [view diff] no match in snippet view article find links to article
Heping (2017), "On the permanental polynomials of graphs", Graph Polynomials, Discrete Mathematics and its Applications, Boca Raton, Florida: CRC Press
K-tree (486 words) [view diff] no match in snippet view article find links to article
In graph theory, a k-tree is an undirected graph formed by starting with a (k + 1)-vertex complete graph and then repeatedly adding vertices in such a
Computational mathematics (577 words) [view diff] no match in snippet view article find links to article
areas of mathematics, such as logic (automated theorem proving), discrete mathematics, combinatorics, number theory, and computational algebraic topology
Odd graph (1,924 words) [view diff] no match in snippet view article find links to article
the odd graphs Ok by parameters", Discrete Mathematics, 42 (1): 91–97, doi:10.1016/0012-365X(82)90057-7. Godsil, C. D. (1980), "More odd graph theory"
Angular resolution (graph drawing) (1,665 words) [view diff] no match in snippet view article
Kramer, Horst (2008), "A survey on the distance-colouring of graphs", Discrete Mathematics, 308 (2–3): 422–426, doi:10.1016/j.disc.2006.11.059, MR 2378044
Flip distance (1,411 words) [view diff] no match in snippet view article find links to article
In discrete mathematics and theoretical computer science, the flip distance between two triangulations of the same point set is the number of flips required
Dot product representation of a graph (277 words) [view diff] no match in snippet view article find links to article
Ann; Zito, Jennifer S. (1998), "Dot product representations of graphs", Discrete Mathematics, 181 (1–3): 113–138, doi:10.1016/S0012-365X(97)00049-6, MR 1600755
Vizing's theorem (2,776 words) [view diff] no match in snippet view article find links to article
Favrholdt, Lene M. (2012), Graph Edge Coloring: Vizing's Theorem and Goldberg's Conjecture, Wiley Series in Discrete Mathematics and Optimization, John Wiley
Hadwiger conjecture (graph theory) (2,453 words) [view diff] no match in snippet view article
"Research problem 172", Discrete Mathematics, 121 (1–3): 235–236, doi:10.1016/0012-365X(93)90557-A Catlin, P. A. (1979), "Hajós's graph-colouring conjecture:
Neil J. Calkin (534 words) [view diff] no match in snippet view article find links to article
March 1961) is a professor at Clemson University in the Algebra and Discrete Mathematics group of the School of Mathematical and Statistical Sciences. His
Telephone number (mathematics) (2,039 words) [view diff] no match in snippet view article
also describe the number of matchings (the Hosoya index) of a complete graph on n vertices, the number of permutations on n elements that are involutions
Andries Brouwer (621 words) [view diff] no match in snippet view article find links to article
branches of discrete mathematics, particularly graph theory, finite geometry and coding theory. He has published dozens of papers in graph theory and other
3-3 duoprism (802 words) [view diff] no match in snippet view article find links to article
of strongly regular graphs with parameters λ = 1 {\displaystyle \lambda =1} , μ = 2 {\displaystyle \mu =2} ", Discrete Mathematics and Applications, 14
Andries Brouwer (621 words) [view diff] no match in snippet view article find links to article
branches of discrete mathematics, particularly graph theory, finite geometry and coding theory. He has published dozens of papers in graph theory and other
Trapezoid graph (1,528 words) [view diff] no match in snippet view article find links to article
bitolerance orders and graphs. Discrete Mathematics 181(1–3): 37–51 (1998). Martin Charles Golumbic and Irith B.-A. Hartman, eds., Graph Theory, Combinatorics
Mivar-based approach (3,024 words) [view diff] no match in snippet view article find links to article
incorporates computer science, informatics and discrete mathematics, databases, expert systems, graph theory, matrices and inference systems. The Mivar-based
Ebadollah S. Mahmoodian (250 words) [view diff] no match in snippet view article find links to article
Manouchehr (1997). "Defining sets in vertex colorings of graphs and latin rectangles". Discrete Mathematics. 167–168: 451–60. doi:10.1016/S0012-365X(96)00247-6
Harborth's conjecture (1,088 words) [view diff] no match in snippet view article find links to article
Harborth, Heiko (2001), "Plane integral drawings of planar graphs", Discrete Mathematics, Graph theory (Kazimierz Dolny, 1997), 236 (1–3): 191–195, doi:10
Clique graph (635 words) [view diff] no match in snippet view article find links to article
Bornstein, Claudson F. (1994). "Clique graphs of chordal and path graphs". SIAM Journal on Discrete Mathematics. 7 (2): 331–336. CiteSeerX 10.1.1.52.521
Periodic graph (geometry) (2,096 words) [view diff] no match in snippet view article
of periodic graphs", Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift (PDF), DIMACS Series in Discrete Mathematics and Theoretical
Series–parallel graph (1,031 words) [view diff] no match in snippet view article find links to article
Andreas; Le, Van Bang; Spinrad, Jeremy P. (1999). Graph classes: a survey. SIAM Monographs on Discrete Mathematics. and Applications. Vol. 3. Philadelphia, PA:
Skew-merged permutation (603 words) [view diff] no match in snippet view article find links to article
321-avoiding and skew-merged permutations", Permutation Patterns 2015, Discrete Mathematics & Theoretical Computer Science, 18 (2): P11:1–17, arXiv:1510.06051
Debra Boutin (745 words) [view diff] no match in snippet view article find links to article
and Applied Mathematics; she was elected Secretary of the latter's Discrete Mathematics Activity Group. In 2008 Boutin was the inaugural recipient of the
Rook's graph (3,777 words) [view diff] no match in snippet view article find links to article
of complete bipartite graphs, see de Werra, D.; Hertz, A. (1999), "On perfectness of sums of graphs" (PDF), Discrete Mathematics, 195 (1–3): 93–101, doi:10
Binary tree (5,236 words) [view diff] no match in snippet view article find links to article
the tree Unrooted binary tree Rowan Garnier; John Taylor (2009). Discrete Mathematics:Proofs, Structures and Applications, Third Edition. CRC Press. p
Jennifer Tour Chayes (1,216 words) [view diff] no match in snippet view article find links to article
2012. Chayes is best known for her work on phase transitions in discrete mathematics and computer science, structural and dynamical properties of self-engineered
Planar cover (2,181 words) [view diff] no match in snippet view article find links to article
In graph theory, a planar cover of a finite graph G is a finite covering graph of G that is itself a planar graph. Every graph that can be embedded into
List of things named after Pierre-Simon Laplace (486 words) [view diff] no match in snippet view article find links to article
(potential) Laplace expansion of determinants of matrices Laplace matrices in graph theory Laplace's demon Laplace equation for irrotational flow Laplace force
Noisy-channel coding theorem (2,786 words) [view diff] no match in snippet view article find links to article
Graph showing the proportion of a channel’s capacity (y-axis) that can be used for payload based on how noisy the channel is (probability of bit flips;
Vincent Blondel (715 words) [view diff] no match in snippet view article find links to article
1691 : Discrete mathematics I : Graphs algorithmics and theory LINMA 1702 : Optimisation Models and Methods LINMA 2111 : Discrete mathematics II: Algorithms
Matroid oracle (4,287 words) [view diff] no match in snippet view article find links to article
dependencies between vectors in a vector space or the spanning trees of a graph, among other applications. The most commonly used oracle of this type is
Induced subgraph isomorphism problem (624 words) [view diff] no match in snippet view article find links to article
Uno, Takeaki (1 November 2012). "Subgraph isomorphism in graph classes". Discrete Mathematics. 312 (21): 3164–3173. doi:10.1016/j.disc.2012.07.010. Heggernes
Torrence Parsons (256 words) [view diff] no match in snippet view article find links to article
D. Parsons". Discrete Mathematics. 78 (1–2): 1–5. Parsons, T. D. (1976). "Pursuit–evasion in a graph". Theory and Applications of Graphs. Springer-Verlag
John Adrian Bondy (850 words) [view diff] no match in snippet view article find links to article
Dréville. Bondy, J. A.; Chvátal, V. (1976), "A method in graph theory", Discrete Mathematics, 15 (2): 111–135, doi:10.1016/0012-365X(76)90078-9, MR 0414429
Dijoin (626 words) [view diff] no match in snippet view article find links to article
(PDF), Discrete Mathematics, 32 (2): 213–215, doi:10.1016/0012-365X(80)90057-6, MR 0592858 Lovász, László (1976), "On two minimax theorems in graph", Journal
Borůvka's algorithm (1,176 words) [view diff] no match in snippet view article find links to article
algorithm for finding a minimum spanning tree in a graph, or a minimum spanning forest in the case of a graph that is not connected. It was first published
Pappus configuration (580 words) [view diff] no match in snippet view article find links to article
J.; Mathon, R. A. (eds.), Combinatorial Design Theory, Annals of Discrete Mathematics, vol. 34, Elsevier, pp. 371–378, doi:10.1016/S0304-0208(08)72903-7
Andrásfai graph (250 words) [view diff] no match in snippet view article find links to article
Schacht, On the local density problem for graphs of given odd-girth, Electronic Notes in Discrete Mathematics, Volume 62, 2017, pp. 39-44. Godsil, Chris;
Vertex cover in hypergraphs (1,328 words) [view diff] no match in snippet view article find links to article
Matching Theory, Annals of Discrete Mathematics, vol. 29, North-Holland, ISBN 0-444-87916-1, MR 0859549 Berge, Claude (1973). Graphs and Hypergraphs. Amsterdam:
Icosian game (1,862 words) [view diff] no match in snippet view article find links to article
Writings on Graph Theory: Hamiltonian Circuits and The Icosian Game", in Hopkins, Brian (ed.), Resources for Teaching Discrete Mathematics: Classroom Projects
Dicut (588 words) [view diff] no match in snippet view article find links to article
Giles", Discrete Mathematics, 32 (2): 213–215, doi:10.1016/0012-365X(80)90057-6, MR 0592858 Lovász, László (1976), "On two minimax theorems in graph", Journal
Bruce Reed (mathematician) (499 words) [view diff] no match in snippet view article
Institute of Mathematics, Academia Sinica, retrieved 2023-11-07 "Discrete mathematics", Mathematics & Statistics, University of Victoria, retrieved 2023-11-07
Lexicographic product of graphs (424 words) [view diff] no match in snippet view article find links to article
In graph theory, the lexicographic product or (graph) composition G ∙ H of graphs G and H is a graph such that the vertex set of G ∙ H is the cartesian
Periodic graph (graph theory) (126 words) [view diff] no match in snippet view article
"Periodicity of graph operators", Discrete Mathematics, 235 (1–3): 349–351, doi:10.1016/s0012-365x(00)00288-0[dead link] Prisner, Erich (1995). Graph Dynamics
Tuza's conjecture (809 words) [view diff] no match in snippet view article find links to article
(2021), "On Tuza's conjecture for triangulations and graphs with small treewidth", Discrete Mathematics, 344 (4), Paper No. 112281, arXiv:2002.07925, doi:10
Degeneracy (graph theory) (3,769 words) [view diff] no match in snippet view article
(1991), "Size and connectivity of the k-core of a random graph" (PDF), Discrete Mathematics, 91 (1): 61–68, doi:10.1016/0012-365X(91)90162-U Malliaros
Brouwer–Haemers graph (714 words) [view diff] no match in snippet view article find links to article
the (81,20,1,6) strongly regular graph", A collection of contributions in honour of Jack van Lint, Discrete Mathematics, 106/107: 77–82, doi:10.1016/0012-365X(92)90532-K
Polytree (852 words) [view diff] no match in snippet view article find links to article
Simion, Rodica (1991), "Trees with 1-factors and oriented trees", Discrete Mathematics, 88 (1): 93–104, doi:10.1016/0012-365X(91)90061-6, MR 1099270. Trotter
Daniel P. Sanders (173 words) [view diff] no match in snippet view article find links to article
four, DP Sanders - SIAM Journal on Discrete Mathematics, 1996 - link.aip.org Efficiently four-coloring planar graphs, - gatech.edu [PS], N Robertson, DP
Mark Ellingham (145 words) [view diff] no match in snippet view article find links to article
Fleischner, Herbert (1990), Eulerian Graphs and Related Topics, Part 1, Volume 1, Annals of Discrete Mathematics, vol. 45, North-Holland, pp. 111–112
Squaregraph (646 words) [view diff] no match in snippet view article find links to article
In graph theory, a branch of mathematics, a squaregraph is a type of undirected graph that can be drawn in the plane in such a way that every bounded face
Brooks' theorem (929 words) [view diff] no match in snippet view article find links to article
In graph theory, Brooks' theorem states a relationship between the maximum degree of a graph and its chromatic number. According to the theorem, in a
Matching in hypergraphs (2,606 words) [view diff] no match in snippet view article find links to article
Matching Theory, Annals of Discrete Mathematics, vol. 29, North-Holland, ISBN 0-444-87916-1, MR 0859549 Berge, Claude (1973). Graphs and Hypergraphs. Amsterdam:
Critical graph (853 words) [view diff] no match in snippet view article find links to article
Tuza, Zsolt; Voigt, Margit (6 August 2009), "On list critical graphs", Discrete Mathematics, 309 (15), Elsevier: 4931–4941, doi:10.1016/j.disc.2008.05.021
Ronald Gould (mathematician) (234 words) [view diff] no match in snippet view article
15, 1950) is an American mathematician specializing in combinatorics and graph theory. He is a Goodrich C. White professor emeritus in the Emory University
Penny graph (1,974 words) [view diff] no match in snippet view article find links to article
distance graphs", Discrete Mathematics, 310 (12): 1783–1792, doi:10.1016/j.disc.2009.11.035, MR 2610282 Feuilloley, Laurent (May 29, 2019), "Graphs defined
Separable permutation (1,420 words) [view diff] no match in snippet view article find links to article
the Schröder numbers, and the N-kings problem", SIAM Journal on Discrete Mathematics, 4 (2): 275–280, doi:10.1137/0404025, MR 1093199. Szepieniec, A.
Sparsity matroid (3,459 words) [view diff] no match in snippet view article find links to article
(2014-12-30). "An inductive construction of $(2,1)$-tight graphs". Contributions to Discrete Mathematics. 9 (2). doi:10.11575/cdm.v9i2.62096. ISSN 1715-0868
Rostislav Grigorchuk (1,995 words) [view diff] no match in snippet view article find links to article
"Geometriae Dedicata", "Ukrainian Mathematical Journal", "Algebra and Discrete Mathematics", "Carpathian Mathematical Publications", "Bukovinian Mathematical
Ping Zhang (graph theorist) (590 words) [view diff] no match in snippet view article
2008) Graphs & Digraphs (by Gary Chartrand and Linda Lesniak, with Zhang added as a co-author on the 5th ed., CRC Press, 2010) Discrete Mathematics (with
Wild problem (286 words) [view diff] no match in snippet view article find links to article
(2017), "Representations of nodal algebras of type E", Algebra and Discrete Mathematics, 23 (1): 16–34, hdl:123456789/155928, MR 3634499 Mesbahi, Afshin;
Rotation distance (2,169 words) [view diff] no match in snippet view article find links to article
In discrete mathematics and theoretical computer science, the rotation distance between two binary trees with the same number of nodes is the minimum number
Jit Bose (244 words) [view diff] no match in snippet view article find links to article
David (2006), "On the spanning ratio of Gabriel graphs and β-skeletons", SIAM Journal on Discrete Mathematics, 20 (2): 412–427, doi:10.1137/S0895480197318088
Rainbow matching (2,561 words) [view diff] no match in snippet view article find links to article
Füredi, Zoltán (1989-05-01). "Covering the complete graph by partitions". Discrete Mathematics. 75 (1–3): 217–226. doi:10.1016/0012-365x(89)90088-5.
Upward planar drawing (2,328 words) [view diff] no match in snippet view article find links to article
In graph drawing, an upward planar drawing of a directed acyclic graph is an embedding of the graph into the Euclidean plane, in which the edges are represented
Herbert Wilf (691 words) [view diff] no match in snippet view article find links to article
J. Calkin) "The Number of Independent Sets in a Grid Graph", SIAM Journal on Discrete Mathematics A=B (with Doron Zeilberger and Marko Petkovšek) Algorithms
Mirsky's theorem (1,119 words) [view diff] no match in snippet view article find links to article
Lovász, László (1972), "Normal hypergraphs and the perfect graph conjecture", Discrete Mathematics, 2 (3): 253–267, doi:10.1016/0012-365X(72)90006-4. Mirsky
Jeb Willenbring (921 words) [view diff] no match in snippet view article find links to article
his research falls within the categories of Representation Theory, Discrete Mathematics, and Mathematical Physics. His current research consists of several
Arrangement of lines (6,723 words) [view diff] no match in snippet view article find links to article
 800–809 Ageev, A. A. (1996), "A triangle-free circle graph with chromatic number 5", Discrete Mathematics, 152 (1–3): 295–298, doi:10.1016/0012-365X(95)00349-2
Iván Gutman (738 words) [view diff] no match in snippet view article find links to article
mathematical chemistry, graph theory, spectral graph theory and discrete mathematics. Gutman is known for his work in chemical graph theory and topological
Daniela Kühn (597 words) [view diff] no match in snippet view article find links to article
Prize, a biennial best dissertation award given by the Section for Discrete Mathematics of the German Mathematical Society. Together with Deryk Osthus and
Steinitz's theorem (5,977 words) [view diff] no match in snippet view article find links to article
2027, MR 1842113 Grünbaum, Branko (2007), "Graphs of polyhedra; polyhedra as graphs", Discrete Mathematics, 307 (3–5): 445–463, doi:10.1016/j.disc.2005
Wiener–Araya graph (514 words) [view diff] no match in snippet view article find links to article
(1976), "Planar and infinite hypohamiltonian and hypotraceable graphs", Discrete Mathematics, 14 (4): 377–389, doi:10.1016/0012-365x(76)90071-6, MR 0422086
Circle packing theorem (3,857 words) [view diff] no match in snippet view article find links to article
Achilleas (1994), "On the angular resolution of planar graphs", SIAM Journal on Discrete Mathematics, 7 (2): 172–183, doi:10.1137/S0895480193242931, MR 1271989
Pósa's theorem (321 words) [view diff] no match in snippet view article find links to article
in graph theory, is a sufficient condition for the existence of a Hamiltonian cycle based on the degrees of the vertices in an undirected graph. It implies
Triangular prism (1,628 words) [view diff] no match in snippet view article find links to article
Euler's Formula". In Hopkin, Brian (ed.). Resources for Teaching Discrete Mathematics: Classroom Projects, History Modules, and Articles. Mathematical
De Bruijn–Erdős theorem (graph theory) (3,632 words) [view diff] no match in snippet view article
Jensen, Tommy R.; Toft, Bjarne (1995), Graph coloring problems, Wiley-Interscience Series in Discrete Mathematics and Optimization, New York: John Wiley
Minimum degree spanning tree (343 words) [view diff] no match in snippet view article find links to article
degree spanning trees of directed acyclic graphs with applications to the broadcast problem". Discrete Mathematics. 308 (17): 3951–3959. doi:10.1016/j.disc
Intersection number (graph theory) (4,363 words) [view diff] no match in snippet view article
Bill; Stewart, Lorna (2007), "Complexity results on graphs with few cliques", Discrete Mathematics & Theoretical Computer Science, 9 (1): 127–135, doi:10
Advanced level mathematics (1,377 words) [view diff] no match in snippet view article find links to article
sampling. 7. Discrete Mathematics: Deals with separate and distinct mathematical structures, including topics such as combinatorics, graph theory, and
Nash-Williams theorem (567 words) [view diff] no match in snippet view article find links to article
Kaiser, Tomáš (2012). "A short proof of the tree-packing theorem". Discrete Mathematics. 312 (10): 1689–1691. arXiv:0911.2809. doi:10.1016/j.disc.2012.01
Gerard Laman (504 words) [view diff] no match in snippet view article find links to article
Mathematical Institute of the University of Amsterdam, teaching discrete mathematics and mathematics for students in Econometrics. Laman regarded himself
Heiko Harborth (533 words) [view diff] no match in snippet view article find links to article
planar graphs", Discrete Mathematics, 236 (1–3): 191–195, doi:10.1016/S0012-365X(00)00442-8; Mohar, Bojan; Carsten, Thomassen (2001), Graphs on Surfaces
Fáry's theorem (1,261 words) [view diff] no match in snippet view article find links to article
planar graphs", Discrete Mathematics, 236 (1–3): 191–195, doi:10.1016/S0012-365X(00)00442-8. Mohar, Bojan (2003), Problems from the book Graphs on Surfaces
Graph toughness (636 words) [view diff] no match in snippet view article find links to article
MR 1074858. Chvátal, Václav (1973), "Tough graphs and Hamiltonian circuits", Discrete Mathematics, 5 (3): 215–228, doi:10.1016/0012-365X(73)90138-6
Planar separator theorem (10,072 words) [view diff] no match in snippet view article find links to article
Arnold L. (1989), "Universal graphs for bounded-degree trees and planar graphs" (PDF), SIAM Journal on Discrete Mathematics, 2 (2): 145, doi:10.1137/0402014
Clebsch graph (1,136 words) [view diff] no match in snippet view article find links to article
field of graph theory, the Clebsch graph is either of two complementary graphs on 16 vertices, a 5-regular graph with 40 edges and a 10-regular graph with
No-three-in-line problem (3,842 words) [view diff] no match in snippet view article find links to article
nineteen". Proceedings of the Oberwolfach Meeting “Kombinatorik” (1986). Discrete Mathematics. 73 (1–2): 89–90. doi:10.1016/0012-365X(88)90135-5. MR 0974815. Jarník
Latin square (3,884 words) [view diff] no match in snippet view article find links to article
F.; Mullen, Gary L. (1998). Discrete mathematics using Latin squares. Wiley-Interscience Series in Discrete Mathematics and Optimization. New York: John
Arboricity (1,429 words) [view diff] no match in snippet view article find links to article
arboricity of graphs". Discrete Mathematics. 149 (1–3): 93–98. doi:10.1016/0012-365X(94)00313-8. MR 1375101. Jensen, T. R.; Toft, B. (1995). Graph Coloring
Converse relation (1,725 words) [view diff] no match in snippet view article find links to article
ISBN 978-0-521-76268-7. Gunther Schmidt; Thomas Ströhlein (1993). Relations and Graphs: Discrete Mathematics for Computer Scientists. Springer Berlin Heidelberg. pp. 9–10
Frequency partition of a graph (595 words) [view diff] no match in snippet view article find links to article
In graph theory, a discipline within mathematics, the frequency partition of a graph (simple graph) is a partition of its vertices grouped by their degree
List of unsolved problems in computer science (1,199 words) [view diff] no match in snippet view article find links to article
Stefan (2009). "Clique-width is NP-complete" (PDF). SIAM Journal on Discrete Mathematics. 23 (2): 909–939. doi:10.1137/070687256. MR 2519936. S2CID 18055798
Kristina Vušković (310 words) [view diff] no match in snippet view article find links to article
(October 2009), "The Strong Perfect Graph Conjecture: 40 years of attempts, and its resolution", Discrete Mathematics, 309 (20): 6092–6113, doi:10.1016/j
Desargues graph (1,203 words) [view diff] no match in snippet view article find links to article
Alenka (2003), "Partial cubes as subdivision graphs and as generalized Petersen graphs", Discrete Mathematics, 263 (1–3): 157–165, doi:10.1016/S0012-365X(02)00575-7
Halved cube graph (742 words) [view diff] no match in snippet view article find links to article
the hypercube", Discrete Mathematics, 283 (1–3): 29–35, doi:10.1016/j.disc.2003.11.018, MR 2061481. Weisstein, Eric W. "Halved Cube Graph". MathWorld.
Jin-Yi Cai (388 words) [view diff] no match in snippet view article find links to article
with Complex Weights. He was also awarded the Fulkerson Prize in Discrete Mathematics awarded by the American Mathematical Society and the Mathematical
Unit disk graph (1,379 words) [view diff] no match in snippet view article find links to article
Colbourn, Charles J.; Johnson, David S. (1990), "Unit disk graphs", Discrete Mathematics, 86 (1–3): 165–177, doi:10.1016/0012-365X(90)90358-O. Dall,
Induced matching (809 words) [view diff] no match in snippet view article find links to article
Cameron, Kathie (2004), "Induced matchings in intersection graphs", Discrete Mathematics, 278 (1–3): 1–9, doi:10.1016/j.disc.2003.05.001, MR 2035386
David Sumner (201 words) [view diff] no match in snippet view article find links to article
Flandrin, Evelyne; Ryjáček, Zdeněk (1997), "Claw-free graphs — A survey", Discrete Mathematics, 164 (1–3): 87–147, doi:10.1016/S0012-365X(96)00045-3,
Jiří Matoušek (mathematician) (890 words) [view diff] no match in snippet view article
Scholia has a profile for Jiří Matoušek (Q472657). Invitation to Discrete Mathematics (with Jaroslav Nešetřil). Oxford University Press, 1998. ISBN 978-0-19-850207-4
Crown graph (1,137 words) [view diff] no match in snippet view article find links to article
(2004), "Cycle systems in the complete bipartite graph minus a one-factor", Discrete Mathematics, 284 (1–3): 37–43, doi:10.1016/j.disc.2003.11.021,
Daniel Kráľ (556 words) [view diff] no match in snippet view article find links to article
lower bound on the number of perfect matchings in cubic graphs", SIAM Journal on Discrete Mathematics, 23 (3): 1465–1483, CiteSeerX 10.1.1.147.4983, doi:10
Locally linear graph (3,383 words) [view diff] no match in snippet view article find links to article
the (81,20,1,6) strongly regular graph", A collection of contributions in honour of Jack van Lint, Discrete Mathematics, 106/107: 77–82, doi:10.1016/0012-365X(92)90532-K
Lonely runner conjecture (3,289 words) [view diff] no match in snippet view article find links to article
—— (September 2009). "On the chromatic number of circulant graphs". Discrete Mathematics. 309 (18): 5687–5696. doi:10.1016/j.disc.2008.04.041. Betke
András Frank (363 words) [view diff] no match in snippet view article find links to article
Frank, András (1992), "Augmenting graphs to meet edge-connectivity requirements" (PDF), SIAM Journal on Discrete Mathematics, 5 (1): 25–53, doi:10.1137/0405003
Amanda Chetwynd (365 words) [view diff] no match in snippet view article find links to article
education. With Peter Diggle, Chetwynd is the author of the books Discrete Mathematics (Modular Mathematics series, Arnold, 1995) and Statistics and Scientific
Miklós Simonovits (616 words) [view diff] no match in snippet view article find links to article
1979. In the coming years, he was appointed as the professor in Discrete mathematics. He was also a visiting professor at a number of foreign institutions
List of theorems (6,296 words) [view diff] no match in snippet view article find links to article
theory) Brooks's theorem (graph theory) Bruck–Chowla–Ryser theorem (combinatorics) Cameron–Erdős theorem (discrete mathematics) Corners theorem (arithmetic
Road coloring theorem (676 words) [view diff] no match in snippet view article find links to article
about the road coloring conjecture", Proc. EuroComb 2005 (PDF), Discrete Mathematics & Theoretical Computer Science, pp. 279–284. Kari, Jarkko (2003)
Graph polynomial (266 words) [view diff] no match in snippet view article find links to article
Yongtang; Dehmer, Matthias; Li, Xueliang; Gutman, Ivan (2016), Graph Polynomials, Discrete Mathematics and Its Applications, CRC Press, ISBN 9781498755917 This
Grötzsch's theorem (1,189 words) [view diff] no match in snippet view article find links to article
V. A. (2005), "Smaller planar triangle-free graphs that are not 3-list-colorable", Discrete Mathematics, 290 (2–3): 269–274, doi:10.1016/j.disc.2004
Pearls in Graph Theory (626 words) [view diff] no match in snippet view article find links to article
Pearls in Graph Theory: A Comprehensive Introduction is an undergraduate-level textbook on graph theory by Nora Hartsfield and Gerhard Ringel. It was published
Prim's algorithm (2,079 words) [view diff] no match in snippet view article find links to article
algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes
Polygon-circle graph (606 words) [view diff] no match in snippet view article find links to article
Kratochvíl, Jan (1997), "Covering and coloring polygon-circle graphs", Discrete Mathematics, 163 (1–3): 299–305, doi:10.1016/S0012-365X(96)00344-5, MR 1428585
Turán's brick factory problem (1,513 words) [view diff] no match in snippet view article find links to article
bipartite graph be drawn with fewer crossings than the number given by Zarankiewicz? More unsolved problems in mathematics In the mathematics of graph drawing
Laman graph (1,260 words) [view diff] no match in snippet view article find links to article
Streinu, Ileana (2008), "Pebble game algorithms and sparse graphs", Discrete Mathematics, 308 (8): 1425–1437, arXiv:math/0702129, doi:10.1016/j.disc
Strong coloring (581 words) [view diff] no match in snippet view article find links to article
(1990-05-01). "Transversals of Vertex Partitions in Graphs". SIAM Journal on Discrete Mathematics. 3 (2): 206–215. doi:10.1137/0403018. ISSN 0895-4801
Menger's theorem (1,598 words) [view diff] no match in snippet view article find links to article
k-vertex-connected graph k-edge-connected graph Vertex separator Göring, Frank (2000). "Short proof of Menger's theorem". Discrete Mathematics. 219 (1–3): 295–296
Mathematical linguistics (1,489 words) [view diff] no match in snippet view article find links to article
a significant amount of overlap with computational linguistics. Discrete mathematics is used in language modeling, including formal grammars, language
Twin-width (4,129 words) [view diff] no match in snippet view article find links to article
Sylvester, John (June 2023), "Bounds on the twin-width of product graphs", Discrete Mathematics & Theoretical Computer Science, 25 (1), arXiv:2202.11556, doi:10
Social golfer problem (1,043 words) [view diff] no match in snippet view article find links to article
In discrete mathematics, the social golfer problem (SGP) is a combinatorial-design problem derived from a question posted in the usenet newsgroup sci.op-research
W. G. Brown (405 words) [view diff] no match in snippet view article find links to article
Martin; Matoušek, Jiří; Thomas, Robin; Valtr, Pavel (eds.), Topics in Discrete Mathematics: Dedicated to Jarik Nešetřil on the occasion of his 60th birthday
Ermelinda DeLaViña (335 words) [view diff] no match in snippet view article find links to article
Genealogy Project Chartrand, Gary; Zhang, Ping (2008), Chromatic Graph Theory, Discrete Mathematics and Its Applications, CRC Press, p. 100, ISBN 9781584888017
Algorithms and Combinatorics (529 words) [view diff] no match in snippet view article find links to article
Monique Laurent, 1997, vol. 15) Probabilistic Methods for Algorithmic Discrete Mathematics (M. Habib, C. McDiarmid, J. Ramirez-Alfonsin, and B. Reed, 1998,
Order dimension (1,205 words) [view diff] no match in snippet view article find links to article
Walter D. Jr. (1999), "The order dimension of the complete graph", Discrete Mathematics, 201 (1–3): 133–139, doi:10.1016/S0012-365X(98)00315-X, MR 1687882
De Bruijn graph (1,271 words) [view diff] no match in snippet view article find links to article
(1993). "Embedding de Bruijn and shuffle-exchange graphs in five pages". SIAM Journal on Discrete Mathematics. 6 (4): 642–654. doi:10.1137/0406049. MR 1241401
Matroid intersection (1,822 words) [view diff] no match in snippet view article find links to article
"Valuated Matroid Intersection I: Optimality Criteria". SIAM Journal on Discrete Mathematics. 9 (4): 545–561. doi:10.1137/S0895480195279994. ISSN 0895-4801. Murota
Avi Wigderson (1,004 words) [view diff] no match in snippet view article find links to article
graph properties". 2021: Shared the Abel Prize with László Lovász "for their foundational contributions to theoretical computer science and discrete mathematics
Brigitte Servatius (481 words) [view diff] no match in snippet view article find links to article
characterizes the planar Laman graphs, the minimally rigid graphs that can be embedded without crossings in the plane, as the graphs of pseudotriangulations
Nowhere-zero flow (1,600 words) [view diff] no match in snippet view article find links to article
In graph theory, a nowhere-zero flow or NZ flow is a network flow that is nowhere zero. It is intimately connected (by duality) to coloring planar graphs
Games graph (819 words) [view diff] no match in snippet view article find links to article
In graph theory, the Games graph is the largest known locally linear strongly regular graph. Its parameters as a strongly regular graph are (729,112,1
List of permutation topics (282 words) [view diff] no match in snippet view article find links to article
Generalized permutation matrix Inversion (discrete mathematics) Major index Ménage problem Permutation graph Permutation pattern Permutation polynomial
Ortrud Oellermann (467 words) [view diff] no match in snippet view article find links to article
Ortrud R. Oellermann is a South African mathematician specializing in graph theory. She is a professor of mathematics at the University of Winnipeg. Oellermann
Yuri Matiyasevich (1,127 words) [view diff] no match in snippet view article find links to article
Symbolic Logic; and also of the editorial boards for the journals Discrete Mathematics and Applications and Computer Instruments in Education. As a teacher
Arthur Hobbs (mathematician) (846 words) [view diff] no match in snippet view article
combinatorics, discrete mathematics, graph theory, and number theory. Hobbs and his colleague taught a course in the intersection of graph theory and number
Slope number (1,347 words) [view diff] no match in snippet view article find links to article
Achilleas (1994), "On the angular resolution of planar graphs", SIAM Journal on Discrete Mathematics, 7 (2): 172–183, doi:10.1137/S0895480193242931, MR 1271989
Generalized Petersen graph (1,598 words) [view diff] no match in snippet view article find links to article
(2009), "The isomorphism classes of the generalized Petersen graphs", Discrete Mathematics, 309 (1): 231–237, doi:10.1016/j.disc.2007.12.074 Ferrero, Daniela;
Bipartite hypergraph (852 words) [view diff] no match in snippet view article find links to article
possible extension of Hall's theorem to bipartite hypergraphs". Discrete Mathematics. 84 (3): 309–313. doi:10.1016/0012-365X(90)90136-6. ISSN 0012-365X
Sumner's conjecture (1,273 words) [view diff] no match in snippet view article find links to article
1007/BF01206356, MR 1136161. Havet, Frédéric (2002), "Trees in tournaments", Discrete Mathematics, 243 (1–3): 121–134, doi:10.1016/S0012-365X(00)00463-5, MR 1874730
K-outerplanar graph (564 words) [view diff] no match in snippet view article find links to article
k {\displaystyle k} -outerplanar graphs into ℓ 1 {\displaystyle \ell _{1}} ", SIAM Journal on Discrete Mathematics, 20 (1): 119–136, doi:10.1137/S0895480102417379
Rado graph (5,168 words) [view diff] no match in snippet view article find links to article
In the mathematical field of graph theory, the Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with
Conflict-free coloring (554 words) [view diff] no match in snippet view article find links to article
Christian (2018-01-01). "Conflict-Free Coloring of Graphs". SIAM Journal on Discrete Mathematics. 32 (4): 2675–2702. doi:10.1137/17M1146579. hdl:1721
Kelmans–Seymour conjecture (730 words) [view diff] no match in snippet view article find links to article
In graph theory, the Kelmans–Seymour conjecture states that every 5-vertex-connected graph that is not planar contains a subdivision of the 5-vertex complete
Eight queens puzzle (3,793 words) [view diff] no match in snippet view article find links to article
Mynhardt, C. M. (1997), "Domination and irredundance in the queens' graph", Discrete Mathematics, 163 (1–3): 47–66, doi:10.1016/0012-365X(95)00327-S, hdl:1828/2670
Alon–Boppana bound (1,908 words) [view diff] no match in snippet view article find links to article
{d-1}}-o(1).} Nilli, A. (1991), "On the second eigenvalue of a graph", Discrete Mathematics, 91 (2): 207–210, doi:10.1016/0012-365X(91)90112-F, MR 1124768
De Bruijn sequence (3,550 words) [view diff] no match in snippet view article find links to article
"Necklaces of beads in k colors and k-ary de Bruijn sequences". Discrete Mathematics. 23 (3): 207–210. doi:10.1016/0012-365X(78)90002-X. MR 0523071. Martin
Homological connectivity (892 words) [view diff] no match in snippet view article find links to article
bound for the connectivity of the independence complex of a graph". Discrete Mathematics. 311 (21): 2566–2569. doi:10.1016/j.disc.2011.06.010. ISSN 0012-365X
Spanning tree (3,280 words) [view diff] no match in snippet view article find links to article
Donald L. (2004), "5.8 The matrix-tree theorem", Graphs, Algorithms, and Optimization, Discrete Mathematics and Its Applications, CRC Press, pp. 111–116,
Partially ordered set (5,351 words) [view diff] no match in snippet view article find links to article
203: DISCRETE MATHEMATICS. Retrieved 23 July 2021. Kwong, Harris (25 April 2018). "7.4: Partial and Total Ordering". A Spiral Workbook for Discrete Mathematics
Anton Kotzig (866 words) [view diff] no match in snippet view article find links to article
Anton Kotzig on the occasion of his sixtieth birthday (Annals of Discrete Mathematics 12, North-Holland, 1982), with contributions from experts from around
Four color theorem (6,333 words) [view diff] no match in snippet view article find links to article
Kennedy, John W.; Quintas, Louis V. (eds.), Quo Vadis, Graph Theory?, Annals of Discrete Mathematics, vol. 55, Amsterdam: North-Holland, pp. 211–248, doi:10
Smith graph (305 words) [view diff] no match in snippet view article find links to article
; Rašajski, M. (2008). "Decomposition of Smith graphs in maximal reflexive cacti". Discrete Mathematics. 308 (2–3): 355–366. doi:10.1016/j.disc.2006.11
L(2,1)-coloring (249 words) [view diff] no match in snippet view article
(1992). "Labelling graphs with a condition at distance 2". SIAM Journal on Discrete Mathematics. 5 (4): 586–595. doi:10.1137/0405048. MR 1186826. v t e
Thue number (712 words) [view diff] no match in snippet view article find links to article
Michael J. (2008). "Nonrepetitive colorings of graphs of bounded tree-width". Discrete Mathematics. 308 (19): 4473–4478. doi:10.1016/j.disc.2007.08
L(2,1)-coloring (249 words) [view diff] no match in snippet view article
(1992). "Labelling graphs with a condition at distance 2". SIAM Journal on Discrete Mathematics. 5 (4): 586–595. doi:10.1137/0405048. MR 1186826. v t e
Matroid representation (1,784 words) [view diff] no match in snippet view article find links to article
"Infinite antichains of matroids with characteristic set {p}", Discrete Mathematics, 242 (1–3): 175–185, doi:10.1016/S0012-365X(00)00466-0, hdl:10092/13245
Oriented coloring (558 words) [view diff] no match in snippet view article find links to article
0.CO;2-P, MR 1437294. Sopena, Eric (2001), "Oriented graph coloring", Discrete Mathematics, 229 (1–3): 359–369, doi:10.1016/S0012-365X(00)00216-8,
Heawood conjecture (831 words) [view diff] no match in snippet view article find links to article
Heawood graph onto the torus. Grünbaum, Branko; Szilassi, Lajos (2009), "Geometric Realizations of Special Toroidal Complexes", Contributions to Discrete Mathematics
Probabilistic analysis of algorithms (303 words) [view diff] no match in snippet view article find links to article
Jorge; Reed, Bruce (eds.), Probabilistic Methods for Algorithmic Discrete Mathematics, Algorithms and Combinatorics, vol. 16, Springer, pp. 36–92, doi:10
Lovász–Woodall conjecture (1,001 words) [view diff] no match in snippet view article find links to article
In graph theory, the Lovász–Woodall conjecture is a long-standing problem on cycles in graphs. It says: If G is a k-connected graph and L is a set of k
Steiner travelling salesman problem (358 words) [view diff] no match in snippet view article find links to article
multiple steiner TSP with order constraints. Electronic Notes in Discrete Mathematics, 41:487–494, 2013. Huili Zhang, Weitian Tong, Yinfeng Xu, and Guohui
Clique complex (1,643 words) [view diff] no match in snippet view article find links to article
(2002), "Whitney triangulations, local girth and iterated clique graphs", Discrete Mathematics, 258 (1–3): 123–135, doi:10.1016/S0012-365X(02)00266-2. Malnič
Semiorder (2,292 words) [view diff] no match in snippet view article find links to article
Falmagne, Jean-Claude (1997), "Well-graded families of relations", Discrete Mathematics, 173 (1–3): 35–44, doi:10.1016/S0012-365X(96)00095-7, hdl:2013/ULB-DIPOT:oai:dipot
Berlekamp–Van Lint–Seidel graph (454 words) [view diff] no match in snippet view article find links to article
of strongly regular graphs with parameters λ = 1 {\displaystyle \lambda =1} , μ = 2 {\displaystyle \mu =2} ", Discrete Mathematics and Applications, 14
Forcing graph (854 words) [view diff] no match in snippet view article find links to article
(1992). "Inequalities for functionals generated by bipartite graphs". Discrete Mathematics and Applications. 2 (5). doi:10.1515/dma.1992.2.5.489. ISSN 0924-9265
Landon Rabern (804 words) [view diff] no match in snippet view article find links to article
to graph theory, particularly in areas such as the Borodin–Kostochka conjecture, list critical graphs, and Reed's conjecture. His work in discrete mathematics
David Conlon (391 words) [view diff] no match in snippet view article find links to article
having been a fellow of Wadham College, Oxford and Professor of Discrete Mathematics in the Mathematics Institute at the University of Oxford. Conlon
McKay–Miller–Širáň graph (892 words) [view diff] no match in snippet view article find links to article
(2013), "Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes", Discrete Mathematics, 313 (19): 2014–2019, doi:10.1016/j
Bidimensionality (1,390 words) [view diff] no match in snippet view article find links to article
planar graphs, map graphs, bounded-genus graphs and graphs excluding any fixed minor. In particular, bidimensionality theory builds on the graph minor
Sartaj Sahni (1,185 words) [view diff] no match in snippet view article find links to article
sum problem, among his many other research results. Concepts in Discrete Mathematics. Fridley, MN: Camelot Pub. Co. 1985. ISBN 978-0-942-45000-2. Fundamentals
Dual polyhedron (2,276 words) [view diff] no match in snippet view article find links to article
ISBN 978-3-642-62442-1, MR 2038487. Grünbaum, Branko (2007), "Graphs of polyhedra; polyhedra as graphs", Discrete Mathematics, 307 (3–5): 445–463, doi:10.1016/j.disc.2005
Giant component (1,440 words) [view diff] no match in snippet view article find links to article
structurePages displaying short descriptions of redirect targets Graph theory – Area of discrete mathematics Interdependent networks – Subfield of network science
Hanani–Tutte theorem (960 words) [view diff] no match in snippet view article find links to article
In topological graph theory, the Hanani–Tutte theorem is a result on the parity of edge crossings in a graph drawing. It states that every drawing in
Midsphere (2,932 words) [view diff] no match in snippet view article find links to article
Zbl 0387.52006 Sachs, Horst (1994), "Coin graphs, polyhedra, and conformal mapping", Discrete Mathematics, 134 (1–3): 133–138, doi:10.1016/0012-365X(93)E0068-F
Otakar Borůvka (1,021 words) [view diff] no match in snippet view article find links to article
problem: translation of both the 1926 papers, comments, history", Discrete Mathematics, 233 (1–3): 3–36, doi:10.1016/S0012-365X(00)00224-7, hdl:10338.dmlcz/500413
Helmut Alt (536 words) [view diff] no match in snippet view article find links to article
journal paper) was given the SoCG Test of Time Award. Computational Discrete Mathematics: Advanced Lectures (Springer, LNCS 2122, 2001) Efficient Algorithms:
Herschel graph (1,667 words) [view diff] no match in snippet view article find links to article
In graph theory, a branch of mathematics, the Herschel graph is a bipartite undirected graph with 11 vertices and 18 edges. It is a polyhedral graph (the
EXPTIME (1,220 words) [view diff] no match in snippet view article find links to article
Ker-I (2014), Theory of Computational Complexity, Wiley Series in Discrete Mathematics and Optimization (2nd ed.), John Wiley & Sons, Proposition 3.30,
Polyhedral combinatorics (2,304 words) [view diff] no match in snippet view article find links to article
Seymour, Paul D. (1989), Polyhedral Combinatorics, DIMACS Series in Discrete Mathematics and Theoretical Computer Science, American Mathematical Society,
Zdeněk Dvořák (452 words) [view diff] no match in snippet view article find links to article
new proof of the independence ratio of triangle-free cubic graphs", Discrete Mathematics, 233 (1–3): 233–237, CiteSeerX 10.1.1.138.3764, doi:10
Petersen graph (2,993 words) [view diff] no match in snippet view article find links to article
Silviya (2014), "On the minimum order of k-cop-win graphs", Contributions to Discrete Mathematics, 9 (1): 70–84, arXiv:1308.2841, doi:10.11575/cdm.v9i1
Godfried Toussaint (1,217 words) [view diff] no match in snippet view article find links to article
Music at McGill University. He applied computational geometric and discrete mathematics methods to the analysis of symbolically represented music in general
Folkman graph (1,392 words) [view diff] no match in snippet view article find links to article
007, MR 2290322 Skiena, Steven (1990), Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica, Reading, Massachusetts: Addison-Wesley
GNRS conjecture (893 words) [view diff] no match in snippet view article find links to article
k {\displaystyle k} -outerplanar graphs into ℓ 1 {\displaystyle \ell _{1}} ", SIAM Journal on Discrete Mathematics, 20 (1): 119–136, doi:10.1137/S0895480102417379
Acyclic orientation (1,081 words) [view diff] no match in snippet view article find links to article
MR 2920058. Stanley, Richard P. (1973), "Acyclic orientations of graphs", Discrete Mathematics, 5 (2): 171–178, doi:10.1016/0012-365X(73)90108-8. Welsh, Dominic
Planarization (1,184 words) [view diff] no match in snippet view article find links to article
planarization", in Tamassia, Roberto (ed.), Handbook of Graph Drawing and Visualization, Discrete Mathematics and its Applications (Boca Raton), CRC Press, Boca
Combinatorics and physics (804 words) [view diff] no match in snippet view article find links to article
Gamarnik, Dmitriy Katz, July 9, 2008 "Graph Theory and Statistical Physics", J.W. Essam, Discrete Mathematics, 1, 83-112 (1971). Combinatorics In Statistical
NP-intermediate (1,547 words) [view diff] no match in snippet view article find links to article
Szeider, Stefan (2009). "Clique-width is NP-complete". SIAM Journal on Discrete Mathematics. 23 (2): 909–939. doi:10.1137/070687256. MR 2519936.. Gassner, Elisabeth;
Convex polytope (3,266 words) [view diff] no match in snippet view article find links to article
Lovász, László; Plummer, M. D. (1986), Matching Theory, Annals of Discrete Mathematics, vol. 29, North-Holland, ISBN 0-444-87916-1, MR 0859549 Motzkin,
Johnson graph (1,456 words) [view diff] no match in snippet view article find links to article
Elizabeth (2011), "The automorphism group of a Johnson graph", SIAM Journal on Discrete Mathematics, 25 (1): 267–270, doi:10.1137/090765596 "Johnson", www
Rainbow coloring (1,095 words) [view diff] no match in snippet view article find links to article
Ingo (2013), "The rainbow connection number of 2-connected graphs", Discrete Mathematics, 313 (19): 1884–1892, arXiv:1110.5736, doi:10.1016/j.disc.2012
Polyknight (273 words) [view diff] no match in snippet view article find links to article
ISBN 978-3-642-21203-1. Redelmeier, D. Hugh (1981), "Counting polyominoes: yet another attack", Discrete Mathematics, 36 (2): 191–203, doi:10.1016/0012-365X(81)90237-5
Milan Randić (512 words) [view diff] no match in snippet view article find links to article
during this period increasingly focused on the application of Discrete Mathematics and Graph Theory to the characterization of molecules and biomolecules
229 (number) (569 words) [view diff] no match in snippet view article
Foundation. Gropp, Harald (1997), "Configurations and their realization", Discrete Mathematics, 174 (1–3): 137–151, doi:10.1016/S0012-365X(96)00327-5. Sloane, N
K-minimum spanning tree (1,057 words) [view diff] no match in snippet view article find links to article
Ravi, S. (1996), "Spanning trees short or small", SIAM Journal on Discrete Mathematics, 9 (2): 178–200, arXiv:math/9409222, doi:10.1137/S0895480194266331