paper

A degree condition for cycles of maximum length in bipartite digraphs

arXiv:1101.4973 · doi:10.1016/j.disc.2011.11.032

Abstract

We prove a sharp Ore-type criterion for hamiltonicity of balanced bipartite digraphs: A bipartite digraph D, with colour classes of cardinality N, is hamiltonian if, for every pair of vertices u and v from opposite colour classes of D such that the arc uv is not in D, the sum of the outdegree of u and the indegree of v is greater than or equal to N+2.

8 pages, minor exposition changes

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