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arXiv · 1404.5782

On Cycles through Vertices of Large Semidegree in Digraphs

S. Kh. Darbinyan·I. A. Karapetyan
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Abstract

Let $D$ be a strong digraph on $n=2m+1\geq 5$ vertices. In this paper we show that if $D$ contains a cycle of length $n-1$, then $D$ has also a cycle which contains all vertices with in-degree and out-degree at least $m$ (unless some extremal cases).

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S. Kh. Darbinyan, I. A. Karapetyan. 2014-04-23. On Cycles through Vertices of Large Semidegree in Digraphs. https://arxiv.org/abs/1404.5782

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