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Corrigendum: Edge-Disjoint Paths in Expander Graphs

✍ Scribed by Frieze, Alan


Book ID
118180425
Publisher
Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
52 KB
Volume
31
Category
Article
ISSN
0097-5397

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A theorem of J. Edmonds states that a directed graph has k edge-disjoint branchings rooted at a vertex r if and only if every vertex has k edge-disjoint paths to r . We conjecture an extension of this theorem to vertex-disjoint paths and give a constructive proof of the conjecture in the case k = 2.

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## Abstract We consider finite undirected loopless graphs __G__ in which multiple edges are possible. For integers k,l β‰₯ 0 let g(k, l) be the minimal __n__ β‰₯ 0 with the following property: If __G__ is an __n__‐edge‐connected graph, __s__~1~, ⃛,__s__~k~, __t__~1~, ⃛,__t__~k~ are vertices of __G__, a

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