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TWO NEW SUFFICIENT CONDITIONS FOR HAMILTON-CONNECTED GRAPHS

TWO NEW SUFFICIENT CONDITIONS FOR HAMILTON-CONNECTED GRAPHS
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摘要 Let G be a 3-connected graph with n vertices, is an independent set of G} , MC(G)=min is an independent set in G}.In this paper, the main results are as follows.TheoremⅠ. If then G is Hamilton-connected.TheoremⅡ. If, then G is Hamilton-connected.Theorems I and IIare the best possible, and are incomparable in the sense that neither theorem implies the other. Let G be a 3-connected graph with n vertices, is an independent set of G} , MC(G)=min is an independent set in G}.In this paper, the main results are as follows.TheoremⅠ. If then G is Hamilton-connected.TheoremⅡ. If, then G is Hamilton-connected.Theorems I and IIare the best possible, and are incomparable in the sense that neither theorem implies the other.
作者 吴正声
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1995年第1期44-50,共7页 应用数学学报(英文版)
关键词 connected graph HAMILTON-CONNECTED connected graph, Hamilton-connected
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