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- W1607894075 abstract "In this paper, we introduce a corresponding between bipartite graphs with a perfect matching and digraphs, which implicates an equivalent relation between the extendibility of bipartite graphs and the strongly connectivity of digraphs. Such an equivalent relation explains the similar results on $k$-extendable bipartite graphs and $k$-strong digraphs. We also study the relation among $k$-extendable bipartite graphs, $k$-strong digraphs and combinatorial matrices. For bipartite graphs that are not 1-extendable and digraphs that are not strong, we prove that the elementary components and strong components are counterparts." @default.
- W1607894075 created "2016-06-24" @default.
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- W1607894075 date "2010-11-19" @default.
- W1607894075 modified "2023-10-12" @default.
- W1607894075 title "Bipartite graphs with a perfect matching and digraphs" @default.
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- W1607894075 doi "https://doi.org/10.48550/arxiv.1011.4359" @default.
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