无爪图中子图的度和与Hamilton连通性
The Hamilton-Connectivity with the Sum Degree of Subgraph in Claw-Free Graphs
作者: 米 晶 , 王江鲁 ：山东师范大学数学科学学院，济南;
关键词: 无爪图； 不相邻子图； 子图的度； Hamilton路； Claw-Free Graph； Non-Adjacent Subgraph； Degree of Subgraph； Hamilton-Path
摘要:Abstract: In this paper, we defined the degree of subgraph, and got the following result on the basis of the degree of subgraph: Let G be a 2-connected claw-free graph of order n, . If H1 and H2, any two non-adjacent subgraphs, are isomorphic to P3 and K2, respectively, and d(H1) + d(H2) ≥ n, for each pair of u,v Î G, when {u,v} isn’t a cut set, there exists a Hamilton-path in u,v.
文章引用: 米 晶 , 王江鲁 (2014) 无爪图中子图的度和与Hamilton连通性。 应用数学进展， 3， 8-16. doi: 10.12677/AAM.2014.31002
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