05943496

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05943496 Wang, Keke Hao, Rongxia Liu, Jianbing Group connectivity of 1-edge deletable IM-extendable graphs. Int. J. Math. Comb. 1, 113-118 (2011). 2011 The MADIS of Chinese Academy of Sciences, Beijing EN graph multigroup connectivity group connectivity induced matching Summary: A graph $G$ is called a $k$-edges deletable IM-extendable graph, if $G-F$ is IM-extendable for every $F\subseteq E(G)$ with $|F|= k$. Denoted by $\Lambda_g(G)$ the group connectivity of a graph $G$. In this paper, $\Lambda_g(G)= 3$ is gotten if $G$ is a 4-regular claw-free 1-edge deletable IM-extendable graph.