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searching for Fractional matching 8 found (19 total)

Hall's marriage theorem (3,274 words) [view diff] exact match in snippet view article find links to article

X-perfect fractional matching. The implication follows directly from the fact that X-perfect matching is a special case of an X-perfect fractional matching, in

Stable matching polytope (1,304 words) [view diff] exact match in snippet view article find links to article

integral. An equivalent way of stating the same theorem is that every fractional matching can be expressed as a convex combination of integral matchings. Teo

Zoltán Füredi (423 words) [view diff] exact match in snippet view article find links to article

3-point lines. He proved an upper bound on the ratio between the fractional matching number and the matching number in a hypergraph. Zoltán Füredi at

Birkhoff algorithm (1,507 words) [view diff] exact match in snippet view article find links to article

algorithm: it greedily finds perfect matchings and removes them from the fractional matching. It works as follows.: app.B Let i = 1. Construct the positivity

David Shmoys (1,787 words) [view diff] exact match in snippet view article find links to article

on it. Thus the vector x ′ {\displaystyle x'} is an instance of a fractional matching on G {\displaystyle G} and thus it can be rounded to obtain an integral

Knaster–Kuratowski–Mazurkiewicz lemma (2,396 words) [view diff] exact match in snippet view article find links to article

the hypergraph with vertex-set V and edge-set B admits a perfect fractional matching. The KKMS theorem implies the KKM lemma. Suppose we have a KKM covering

Hall-type theorems for hypergraphs (6,498 words) [view diff] exact match in snippet view article find links to article

1) hyperedges, and they are all disjoint. The largest size of a fractional matching in H is denoted by ν*(H). Clearly ν*(H) ≥ ν(H). Suppose that, for

Sperner's lemma (4,087 words) [view diff] exact match in snippet view article find links to article

labeling in which the corresponding hypergraph admits a perfect fractional matching. To illustrate, here are some balanced labeling examples for n =