Vertex-disjoint paths and edge-disjoint
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R. W. Whitty
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Article
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1987
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John Wiley and Sons
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English
β 482 KB
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.