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Minimum spanning tree
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A minimum spanning tree (MST) or minimum weight spanning tree is a subset of the edges of a connected, edge-weighted undirected graph that connects allK-edge-connected graph (938 words) [view diff] exact match in snippet view article find links to article
In graph theory, a connected graph is k-edge-connected if it remains connected whenever fewer than k edges are removed. The edge-connectivity of a graphEdge coloring (8,472 words) [view diff] exact match in snippet view article find links to article
different colors is called a (proper) k-edge-coloring. A graph that can be assigned a k-edge-coloring is said to be k-edge-colorable. The smallest number ofSteiner tree problem (4,388 words) [view diff] exact match in snippet view article find links to article
problem are the k-edge-connected Steiner network problem and the k-vertex-connected Steiner network problem, where the goal is to find a k-edge-connected graphList edge-coloring (388 words) [view diff] exact match in snippet view article find links to article
is proper if no two adjacent edges receive the same color. A graph G is k-edge-choosable if every instance of list edge-coloring that has G as its underlyingSpectral imaging (radiography) (5,113 words) [view diff] no match in snippet view article
such as gadolinium (K edge at 50.2 keV), nanoparticle silver (K edge at 25.5 keV), zirconium (K edge at 18.0 keV), and gold (K edge at 80.7 keV). SomeSavitch's theorem (1,038 words) [view diff] no match in snippet view article find links to article
of any length exists from s to t""" return k_edge_path(s, t, n) # n is the number of vertices def k_edge_path(s, t, k) -> bool: """Test whether a pathKKED (590 words) [view diff] no match in snippet view article find links to article
(1997–1998) Former frequencies 104.9 MHz (1962–1968) Call sign meaning K K EDge (former branding) Technical information Licensing authority FCC FacilityMenger's theorem (1,598 words) [view diff] exact match in snippet view article find links to article
version: A graph is k-edge-connected (it remains connected after removing fewer than k edges) if and only if every pair of vertices has k edge-disjoint pathsActinocene (580 words) [view diff] exact match in snippet view article find links to article
(2014). "New evidence for 5f covalency in actinocenes determined from carbon K-edge XAS and electronic structure theory". Chem. Sci. 5 (1): 351–359. doi:10Steven Girvin (961 words) [view diff] no match in snippet view article find links to article
Topics in condensed matter physics: the role of exchange in the lithium k edge and the fluorescence spectrum of heavily doped cadmium sulphide. His doctoralDibromine monoxide (226 words) [view diff] exact match in snippet view article find links to article
(January 1990). "Characterization of dibromine monoxide (Br2O) by bromine K-edge EXAFS and IR spectroscopy". Journal of the American Chemical Society. 112Matching (graph theory) (2,938 words) [view diff] exact match in snippet view article
function of the number of k-edge matchings in a graph is called a matching polynomial. Let G be a graph and mk be the number of k-edge matchings. One matchingRobert Hofstadter (1,163 words) [view diff] exact match in snippet view article find links to article
Research, Air Force Research Laboratory, (October 1964). Hofstadter, R. "K-edge Subtraction Angiography with Synchrotron X-Rays: Final Technical ReportK-vertex-connected graph (773 words) [view diff] exact match in snippet view article find links to article
least 16 k {\displaystyle 16k} , then it is k {\displaystyle k} -linked. k-edge-connected graph Connectivity (graph theory) Menger's theorem StructuralLapis lazuli (3,006 words) [view diff] exact match in snippet view article find links to article
to ultramarine blue: investigating Cennino Cennini's recipe using sulfur K-edge XANES". Pure and Applied Chemistry. 90 (3): 463–475. doi:10.1515/pac-2017-0502Connectivity (graph theory) (2,062 words) [view diff] exact match in snippet view article
from v. Again, local edge-connectivity is symmetric. A graph is called k-edge-connected if its edge connectivity is k or greater. A graph is said to beStagnosol (612 words) [view diff] exact match in snippet view article find links to article
(2010). "Phosphorus speciation of forest-soil organic surface layers using P K-edge XANES spectroscopy". Journal of Plant Nutrition and Soil Science. 173 (6):Camille Jordan (431 words) [view diff] exact match in snippet view article find links to article
Jordan–Schur theorem Jordan–Schönflies theorem Bounded variation Homotopy group k-edge-connected graph Total variation Scientific career Fields Mathematics AcademicGraph (discrete mathematics) (3,689 words) [view diff] exact match in snippet view article
Otherwise it is called a disconnected graph. A k-vertex-connected graph or k-edge-connected graph is a graph in which no set of k − 1 vertices (respectivelyLeaching (agriculture) (1,350 words) [view diff] exact match in snippet view article
manure-amended soil profile – Evidence from wet chemical extraction, 31P-NMR and P K-edge XANES spectroscopy. Geoderma 322, 19–27. doi:10.1016/j.geoderma.2018.01Photon-counting mammography (2,665 words) [view diff] exact match in snippet view article find links to article
the object and can be separated from soft tissue, often referred to as K-edge imaging. In photon-counting mammography, contrast-enhanced imaging has beenUniquely colorable graph (1,038 words) [view diff] exact match in snippet view article find links to article
subgraph. A uniquely edge-colorable graph is a k-edge-chromatic graph that has only one possible (proper) k-edge-coloring up to permutation of the colors.Rhodium (3,863 words) [view diff] exact match in snippet view article find links to article
C P; et al. (1984). "Optimum x-ray spectra for mammography: choice of K-edge filters for tungsten anode tubes". Phys. Med. Biol. 29 (3): 249–52. Bibcode:1984PMBNash-Williams theorem (464 words) [view diff] exact match in snippet view article find links to article
applies to forests rather than trees.) A k-arboric graph is necessarily k-edge connected. The converse is not true. As a corollary of NW, every 2k-edgeRadiocontrast agent (1,435 words) [view diff] exact match in snippet view article find links to article
diagnostic radiography. When the incident x-ray energy is closer to the k-edge of the atom it encounters, photoelectric absorption is more likely to occur2-factor theorem (502 words) [view diff] no match in snippet view article find links to article
edges of G {\displaystyle G} can be partitioned into k {\displaystyle k} edge-disjoint 2-factors. Here, a 2-factor is a subgraph of G {\displaystyleHMS Vernon (shore establishment) (1,721 words) [view diff] no match in snippet view article
1967 Captain William P. B. Barber, July 1967 – April 1969 Captain Thomas K. Edge-Partington, April 1969 – October 1970 Captain Stuart M.W. Farquharson-RobertsAttosecond (1,142 words) [view diff] exact match in snippet view article find links to article
Chang, Zenghu (4 August 2017). "53-attosecond X-ray pulses reach the carbon K-edge". Nature Communications. 8 (1): 186. Bibcode:2017NatCo...8..186L. doi:10Iron–sulfur protein (2,508 words) [view diff] case mismatch in snippet view article find links to article
Hedman, Britt; Solomon, Edward I. (2010-08-20). "Solvation Effects on S K-Edge XAS Spectra of Fe−S Proteins: Normal and Inverse Effects on WT and MutantPhi bond (356 words) [view diff] exact match in snippet view article find links to article
(2014). "New evidence for 5f covalency in actinocenes determined from carbon K-edge XAS and electronic structure theory". Chem. Sci. 5 (1): 351–359. doi:10Cograph (2,717 words) [view diff] exact match in snippet view article find links to article
tractable. Deciding if a graph can be k-edge-deleted to a cograph can be solved in O*(2.415k) time, and k-edge-edited to a cograph in O*(4.612k). If theSpiderTech–C10 (424 words) [view diff] case mismatch in snippet view article find links to article
DZ-Nuts, Finishline, Giro, Gu, HerbaLife, Hutchinson, Humberview Group, ISM, K-Edge, Oakley, Park Tool, Pearl Izumi, PRO, Shimano, Thule "Spidertech PoweredEdward I. Solomon (1,336 words) [view diff] exact match in snippet view article find links to article
study non-heme iron enzyme active sites Development of metal L-edge, ligand K-edge x-ray absorption spectroscopy and resonant inelastic x-ray scattering toCrispin Nash-Williams (593 words) [view diff] exact match in snippet view article find links to article
because of its implications in matroid theory. Nash-Williams also studied k-edge-connected graphs, Hamiltonian cycles in dense graphs, versions of the reconstructionNickel (9,837 words) [view diff] case mismatch in snippet view article find links to article
R. K.; Bryngelson, P. A.; Maroney, M. J.; Hedman, B.; et al. (2004). "S K-Edge X-ray Absorption Spectroscopic Investigation of the Ni-Containing SuperoxideDMSO reductase (1,483 words) [view diff] exact match in snippet view article find links to article
bis-dithiolene complexes suggest that be oxygen-transfer, electron transfer. Using S K-edge XAS and DFT, these model studies point to concerted S-O scission and electronMaya blue (1,382 words) [view diff] exact match in snippet view article find links to article
Eeckhout; T. Neisius; P. Martinetto; E. Dooryhée; C. Reyes-Valerio (2005). "Fe K-edge XANES of Maya blue pigment". Nuclear Instruments and Methods in PhysicsDerailleur (3,979 words) [view diff] case mismatch in snippet view article find links to article
Retrieved 2010-07-12. Zack Vestal (Apr 14, 2009). "Born for Beijing, the K-Edge chain catcher goes into production". VeloNews. Archived from the originalKristin Armstrong (2,252 words) [view diff] case mismatch in snippet view article find links to article
January 21, 2020. Vestal, Zack (April 14, 2009). "Born for Beijing, the K-Edge chain catcher goes into production". Velonews. Archived from the originalKristin Armstrong (2,252 words) [view diff] case mismatch in snippet view article find links to article
January 21, 2020. Vestal, Zack (April 14, 2009). "Born for Beijing, the K-Edge chain catcher goes into production". Velonews. Archived from the originalArsenic contamination of groundwater (5,103 words) [view diff] case mismatch in snippet view article find links to article
Arsenic from Synthetic Groundwater with Iron Electrocoagulation: An Fe and As K-Edge EXAFS Study". Environmental Science & Technology. 46 (2): 986–994. Bibcode:2012EnSTX-ray birefringence imaging (476 words) [view diff] exact match in snippet view article find links to article
carried out using incident linearly polarized X-rays tuned to the bromine K-edge). Applications of the technique have included the study of changes in molecularSilver molybdate (1,214 words) [view diff] exact match in snippet view article find links to article
Mustarelli, P; Tomasi, C; Magistris, A (1999-06-01). "XANES and EXAFS at Mo K-edge in (AgI)1−x(Ag2MoO4)x glasses and crystals". Solid State Ionics. 121 (1–4):Bicircular matroid (893 words) [view diff] exact match in snippet view article find links to article
_{k=0}^{n}(-1)^{k}f_{k}(\lambda -1)^{n-k},} where fk equals the number of k-edge spanning forests in G. See Zaslavsky (1982). Bicircular matroids, like allGraph coloring (8,081 words) [view diff] exact match in snippet view article find links to article
two edges of the same color. An edge coloring with k colors is called a k-edge-coloring and is equivalent to the problem of partitioning the edge set intoRegular complex polygon (1,846 words) [view diff] exact match in snippet view article find links to article
a graph, while forms with k-edges can only be related by hypergraphs. A k-edge can be seen as a set of vertices, with no order implied. They may be drawnInductively coupled plasma mass spectrometry (6,588 words) [view diff] exact match in snippet view article find links to article
by laser ablation inductively coupled plasma-mass spectrometry and x-ray K-edge densitometry of forensic samples.Graduate Theses and Dissertations. PaperVision West Nottinghamshire College (2,218 words) [view diff] no match in snippet view article find links to article
the rear of the Technical College, was officially opened by Mr. T. L. K. Edge" Retrieved 31 December 2013 [4] 'Our Mansfield and Area' website administeredTrivially perfect graph (1,189 words) [view diff] no match in snippet view article find links to article
trivially perfect graph, in linear time. Determining if a general graph is k edge deletions away from a trivially perfect graph is NP-complete, fixed-parameterGlossary of graph theory (15,920 words) [view diff] exact match in snippet view article find links to article
graphs (removing fewer than k vertices cannot disconnect the graph), and k-edge-connected graphs (removing fewer than k edges cannot disconnect the graph)Matching polynomial (882 words) [view diff] exact match in snippet view article find links to article
been defined. Let G be a graph with n vertices and let mk be the number of k-edge matchings. One matching polynomial of G is m G ( x ) := ∑ k ≥ 0 m k x kHerschel graph (1,617 words) [view diff] no match in snippet view article find links to article
a graph is k {\displaystyle k} -vertex-connected or k {\displaystyle k} -edge-connected if the removal of fewer than k {\displaystyle k} vertices orS. Samar Hasnain (1,765 words) [view diff] exact match in snippet view article find links to article
287–292. doi:10.1038/nsb0495-287. PMID 7796265. S2CID 21986822. Vanadium K-edge X-ray absorption spectrum of the VFe protein of the vanadium nitrogenasePARATEC (187 words) [view diff] no match in snippet view article find links to article
near-edge structure calculations with the pseudopotentials: Application to the K edge in diamond and α-quartz". Physical Review B. 66 (19). American PhysicalMaximum flow problem (5,227 words) [view diff] no match in snippet view article find links to article
the maximum flow is k {\displaystyle k} iff there are k {\displaystyle k} edge-disjoint paths. 2. The paths must be independent, i.e., vertex-disjointOperando spectroscopy (3,602 words) [view diff] exact match in snippet view article find links to article
cell (SOFC) operation at mid- and low-range temperatures in an operando S K-edge XANES have been studied. Ni is a typical catalyst material for the anodeClaw-free graph (3,622 words) [view diff] exact match in snippet view article find links to article
has a k-factor; and, if a claw-free graph is (2k + 1)-connected, then any k-edge matching can be extended to a perfect matching. An independent set in aSerena DeBeer (2,544 words) [view diff] case mismatch in snippet view article find links to article
"Localized Electronic Structure of Nitrogenase FeMoco Revealed by Selenium K-Edge High Resolution X-ray Absorption Spectroscopy". Journal of the AmericanEar decomposition (1,913 words) [view diff] exact match in snippet view article find links to article
if the removal of any (k − 1) vertices leaves a connected subgraph, and k-edge-connected if the removal of any (k − 1) edges leaves a connected subgraphCharge sharing (706 words) [view diff] exact match in snippet view article find links to article
pixel size. Furthermore, fluorescence of the detector material above its K-edge can lead to additional charge carriers that add to the effect of charge-sharingStrong orientation (1,855 words) [view diff] exact match in snippet view article find links to article
that every 2k-edge-connected undirected graph can be oriented to form a k-edge-connected directed graph. A totally cyclic orientation of a graph G is anYen's algorithm (2,179 words) [view diff] no match in snippet view article find links to article
i} -th node, then ( i ) k − ( i + 1 ) k {\displaystyle (i)^{k}-(i+1)^{k}} edge is different from any path in A j {\displaystyle A^{j}} , where j {\displaystylePhoton-counting computed tomography (2,568 words) [view diff] exact match in snippet view article find links to article
1088/0031-9155/21/5/002. PMID 967922. S2CID 250824716. Roessl E, Proksa R (August 2007). "K-edge imaging in x-ray computed tomography using multi-bin photon counting detectors"Kate Kirby (1,166 words) [view diff] exact match in snippet view article find links to article
(1998-11-28). "Photoabsorption of atomic oxygen in the vicinity of the K-edge". Journal of Physics B: Atomic, Molecular and Optical Physics. 31 (22):Carol J. Burns (616 words) [view diff] exact match in snippet view article find links to article
for d- and f-element metallocene dichlorides identified using chlorine K-edge X-ray absorption spectroscopy and time-dependent density functional theory"Inverted ligand field theory (2,935 words) [view diff] exact match in snippet view article find links to article
assignment of this oxidation state. Using UV/visible/near IR spectroscopy, Cu K-edge X-ray absorption spectroscopy, and 1s2p resonant inelastic X-ray scatteringResonant high harmonic generation from laser ablated plasma plumes (1,103 words) [view diff] exact match in snippet view article find links to article
PMID 10054556. Jie, Li (2017). "53-attosecond X-ray pulses reach the carbon K-edge". Nature Communications. 8 (1): 186. Bibcode:2017NatCo...8..186L. doi:10George Crabtree (2,201 words) [view diff] case mismatch in snippet view article find links to article
Soonjeong; Pan, Baofei; Liao, Chen; Vaughey, John (2016). "Utilization of Ca K-Edge X-ray Absorption Near Edge Structure to Identify Intercalation in PotentialSparsity matroid (3,454 words) [view diff] no match in snippet view article find links to article
are equivalent to graphs that can be decomposed into k {\displaystyle k} edge-disjoint spanning trees, called k {\displaystyle k} -arborescences. A (Rook polynomial (3,630 words) [view diff] exact match in snippet view article find links to article
matching polynomial, which is the generating function of the number of k-edge matchings in a graph. The rook polynomial Rm,n(x) corresponds to the completeBarbara Cade-Menun (827 words) [view diff] exact match in snippet view article find links to article
methods such as 31P nuclear magnetic resonance spectroscopy (P-NMR) and P k-edge X-ray absorption near-edge structure spectroscopy (P-XANES). These techniquesCommunity search (1,093 words) [view diff] exact match in snippet view article find links to article
communities. The commonly used metrics are k-core (minimum degree), k-truss, k-edge-connected, etc. Among these measures, the k-core metric is the most popularMarcetta Y. Darensbourg (3,518 words) [view diff] case mismatch in snippet view article find links to article
; Hodgson, Keith O.; Hedman, Britt; Solomon, Edward I. (2011-01-17). "S K-Edge X-Ray Absorption Spectroscopy and Density Functional Theory Studies of HighMurburn concept (4,997 words) [view diff] exact match in snippet view article find links to article
03.003. PMID 26969799. Reina RG, Leri AC, Myneni SC (February 2004). "Cl K-edge X-ray spectroscopic investigation of enzymatic formation of organochlorinesCaterina Vozzi (621 words) [view diff] exact match in snippet view article find links to article
elements. X-ray measurements near specific absorption edges (e.g. the Carbon K-edge) provides information of the structural and electronic environment of atomsLinda Young (scientist) (2,381 words) [view diff] no match in snippet view article
Krässig, B.; Landahl, E. C.; Peterson, E. R.; Rudati, J. (2007-10-24). "$K$-edge x-ray-absorption spectroscopy of laser-generated ${\text{Kr}}^{+}$ andCarbonate-associated sulfate (5,673 words) [view diff] exact match in snippet view article find links to article
using X-ray absorption near-edge structure (XANES) spectroscopy at the S K-edge". American Mineralogist. 90 (11–12): 1748–1758. Bibcode:2005AmMin..90.1748DBrandes' algorithm (1,696 words) [view diff] no match in snippet view article find links to article
centrality, including betweenness with paths at most length k {\displaystyle k} , edge betweenness, load betweenness, and stress betweenness. Brandes, Ulrik