含邻域交的Hamilton及Hamilton连通图

摘要

对任意一对不相邻的顶点u和v,α(u,v)表示图G中含u,v的最大独立集的顶立数.通过讨论邻域交|N(u)∩N(v)|与α(u,v)的关系,本文得到了关于Hamilton及Hamilton连通图的新的充分条件,这些结果推广了现有的有关结果.%For any pair of nonadjacent vertices u and v,using α(u,v) to denote the maximum cardinality of an independent vertex set of G containing both u and v.By discussing the relationship between |N(u)∩N(v)| and α(u ,v), new sufficient conditions for hamiltonian and hamiltonian connected grap hs are obtained.