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Local edge-connectivity in regular bipartite graphs

✍ Scribed by Yahya Ould Hamidoune; Michel Las Vergnas


Book ID
107884266
Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
109 KB
Volume
44
Category
Article
ISSN
0095-8956

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Local Strongly Arc-Connectivity in Regul
✍ J.M. Xu πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 99 KB

We show that for any vertex \(x\) of a \(d\)-regular bipartite digraph there are a vertex \(y\), in the other class of the bipartition, and \(d(x, y)\)-paths and \(d(y, x)\)-paths such that all \(2 d\) of them are pairwise arc-disjoint. This result generalizes a theorem of Hamidoune and Las Vergnas