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Finding all the perfect matchings in bipartite graphs

โœ Scribed by K. Fukuda; T. Matsui


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
283 KB
Volume
7
Category
Article
ISSN
0893-9659

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๐Ÿ“œ SIMILAR VOLUMES


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Let G be a bipartite graph in which every edge belongs to some perfect matching, and let D be a subset of its edge set. It is shown that M fl D has the same parity for every perfect matching M if and only if D is a cut, and equivalently if and only. if (G, D) is a balanced signed-graph. This gives n

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Given a graph G and a subgraph H of G, let rb(G, H) be the minimum number r for which any edge-coloring of G with r colors has a rainbow subgraph H. The number rb(G, H) is called the rainbow number of H with respect to G. Denote as mK 2 a matching of size m and as B n,k the set of all the k-regular