Vertex-deleted subgraphs and regular factors from regular graph

Details Vertex-deleted subgraphs and regular factors from regular graph Vertex-deleted subgraphs and regular factors from regular graph

2010-07-24

arxiv.org/abs/1007.4263v1

Mathematics

Combinatorics

Scientific paper

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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