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拟(k+1)-连通图的一些性质 被引量:2

SOME PROPERTIES OF QUASI (k+1)-CONNECTED GRAPHS
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摘要 设 G为 k-连通图且不存在非平凡的 k-点割 ,则称 G为拟 ( k+ 1 ) -连通图 ,给出了拟 ( k+ 1 ) -连通图的一些类似于 ( k+ 1 ) Let G be a k-connected graph and S be a k-vertex-cut of G.It says that S is a nontrivial k-vertex-cut of G,if the components of G-S can be partitioned into subgraphs G 1 and G 2 such that |V(G 1)|≥2 and |V(G 2)|≥2.A k-connected graph is quasi (k+1)-connected if it has no nontrivial k-vertex-cut.This paper proves some properties of quasi (k+1)-connected graphs.
出处 《广西师范大学学报(自然科学版)》 CAS 2001年第4期26-29,共4页 Journal of Guangxi Normal University:Natural Science Edition
基金 国家自然科学基金资助项目 ( 1 95 6 1 0 0 1 )
关键词 拟(κ+1)-连通图 性质 κ-连通图 κ-点割 简单无向有限图 connected graph quasi (k+1)-connected graph cycle
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参考文献7

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同被引文献16

  • 1陈红,孙志人,吴正声.无爪图周长的一个下界[J].广西师范学院学报(自然科学版),2005,22(2):28-34. 被引量:1
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