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arXiv · 1512.00480

A degree sum condition for hamiltonicity in balanced bipartite digraphs

Janusz Adamus
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Abstract

We prove that a strongly connected balanced bipartite digraph $D$ of order $2a$ is hamiltonian, provided $a\geq3$ and $d(x)+d(y)\geq 3a$ for every pair of vertices $x$, $y$ with a common in-neighbour or a common out-neighbour in $D$.

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Janusz Adamus. 2015-12-01. A degree sum condition for hamiltonicity in balanced bipartite digraphs. https://arxiv.org/abs/1512.00480

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