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arXiv · 1007.4263

Vertex-deleted subgraphs and regular factors from regular graph

Hongliang Lu·Bing Bai·Wei Wang
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Abstract

Let $k$, $m$ and $r$ be three integers such that $2\leq k\leq m\leq r$. Let $G$ be a $2r$-regular, $2m$-edge-connected graph of odd order. We obtain some sufficient conditions, which guarantee $G-v$ contains a $k$-factor for all $v\in V(G)$.

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Hongliang Lu, Bing Bai, Wei Wang. 2010-07-24. Vertex-deleted subgraphs and regular factors from regular graph. https://arxiv.org/abs/1007.4263

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