A Meyniel-type condition for bipancyclicity in balanced bipartite digraphs

Abstract

We prove that a strongly connected balanced bipartite digraph D of order 2a, a≥3, satisfying d(u)+d(v)≥ 3a for every pair of vertices u,v with a common in-neighbour or a common out-neighbour, is either bipancyclic or a directed cycle of length 2a.

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