【摘要】 文章主要证明了若图G是阶为n,n>9的连通无爪图,G中至少存在一个非局部连通点或一个单纯点,M(G)={x|x∈V(G),x局部连通}是G的一个连通控制集,则G含有两个分支的2-因子。更多还原

【Abstract】 Let G be a claw-free graph,|G|>9,M(G) the set of all vertices of G that have a connected neighborhood,and(M(G)) the induced subgraph of Gon M(G),we prove that if G has at least a nonconnected neighborhood vertice or a simple vertice,M(G) dominates G and(M(G)) is connected,then Ghave 2-factor with two components.更多还原