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k-连通图的可收缩边(英文)

Contractible Edges of k-connected Graphs
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摘要 证明了对k-连通图G,若G的任意一个断片满足当N(F)中含有边就有|F|>k/4,则G至少有2条可收缩边. This paper show that a k - connected graph G has at least two contractible edges if any fragment which neighborhood contains an edge has cardinality exceeding k/4.
作者 覃城阜 谭丽
出处 《广西科学》 CAS 2010年第4期287-291,共5页 Guangxi Sciences
基金 supported by Guangxi Natural Science Foundation(No:0991101)
关键词 K-连通图 可收缩边 断片 k - connected graph, contractible edge, fragment
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参考文献8

  • 1Tuttle W T.A theory of 3-connected graphs[J].Nederl Akad Wet,Proc,Ser A,1961,64:441-455. 被引量:1
  • 2Thomassen C.Nonseparating cycles in k-connected graphs[J].J Graph Theory,1981,5:351-354. 被引量:1
  • 3Egawa Y.Contractible edges in n-connected graphs with minimum degree greater than or equal to 5n4[J].Graphs Combin,1991,7:15-21. 被引量:1
  • 4Kriesell M.A survey on contractible edges in graphs of a prescribed vertex connectivity[J].Graphs and Combinatorics,2002,18:1-30. 被引量:1
  • 5Bondy J A,Murty U S R.Graph theory with applications[M].London:MacMillan,1976. 被引量:1
  • 6Mader W.Generalizations of critical connectivity of graphs[J].Discrete Math,1988,72:267-283. 被引量:1
  • 7Dean N.Distribution of contractible edges in k-connected graphs[J].J Comb Theorey,Ser B,1990,48:1-5. 被引量:1
  • 8Qin Chengfu,Guo Xiaofeng.The contractible edges of k-connected graphs for k=4,5[J].Ars Combinatria,2010,XCVⅡ:256-265. 被引量:1

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