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
摘要:
本文定义了子图的度的概念，并利用子图的度给出如下结果：设G是n阶2-连通无爪图，δ(G) ≥ 3，如果G中任意两个分别同构于P3和K2的不相邻子图H1，H2的度和，对于任意的u,v Î G，若{u,v}不构成割集，那么u,v间存在Hamilton路。
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.
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