Matching structure of symmetric bipartite graphs - ScienceDirectcom PDF pdf?md5=fc5781a5ec85716ac09ef36c8212bd75&pid=1-s2.0-S0095895610000717-main.pdf

13 juil 2010 · A bipartite graph is said to be symmetric if it has symmetry of reflecting two vertex sets This paper investigates matching struc- ture of symmetric

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For graph theoretical terms, see [1, 5] 2 &-factor of K* The following theorem is on the existence of Sk-factors of K

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A symmetry (or automorphism) of a simple graph X is a A graph is arc-transitive (also called symmetric) if its auto- Any such graph is bipartite, with its parts

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If the edge set E of a graph F is the symmetric difference of two matchings M1 and Definition 3 A graph G(V E) is called bipartite if V can be partitioned into two

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cency matrix of a bipartite graph has the form A = [ 0 B B⊤ 0 ] It follows that the spectrum of a bipartite graph is symmetric w r t 0: if [ uv ] is an eigenvector with

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Lemma 1 Every component of the symmetric difference of two matchings is a Theorem 2 (Hall 1935) A X − Y bipartite graph G has a matching that sat-

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Abstract This dissertation deals with highly symmetric abstract polytopes Abstract polytopes We quickly notice that M(P) is a simple bipartite graph, and that

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[PDF] Matching structure of symmetric bipartite graphs - ScienceDirectcom