Title

A proof of a conjecture of bondy concerning paths in weighted digraphs

Abstract

Our aim in this note is to prove a conjecture of Bondy, extending a classical theorem of Dirac to edge-weighted digraphs: if every vertex has out-weight at least 1 then the digraph contains a path of weight at least 1. We also give several related conjectures and results concerning heavy cycles in edge-weighted digraphs. © 1996 Academic Press, Inc.

Publication Title

Journal of Combinatorial Theory. Series B

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