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λk最优图的充分条件 被引量:2

Sufficient Conditions for λ_k-Optimal Graphs
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摘要 介绍λk最优图的概念,通过考察图中顶点的邻域和k阶连通子图之间的关系,给出了图是λk最优的一些充分条件. λk-optimal graphs are introduced and sufficient conditions for a graph to be λk- optimal are given by studying the relationship between the neighborhood of vertices and the connected subgraphs with order k.
出处 《数学的实践与认识》 CSCD 北大核心 2008年第12期208-213,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金资助项目(60773131)
关键词 边割 限制边连通度 邻域 edge cut restricted edge connectivity neighborhood
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参考文献11

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二级参考文献1

  • 1李乔良.网络容错性和可靠性的图论研究,中国科技大学博士论文[M].,1997..

共引文献19

同被引文献18

  • 1王应前,李乔.ON THE EXISTENCE OF THE h-RESTRICTED EDGE CONNECTIVITY OF A GRAPH[J].Journal of Shanghai Jiaotong university(Science),2001,6(2):131-133. 被引量:2
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  • 3Wang M,Li Q.Conditional edge connectivity properties,reliability comparison and transitivity of graphs.Discrete Math,2002;258:205-214.
  • 4Esfahanian A H,Hakimi S L.On computing a conditional edge connectivity of a graph.Inf Process Letter,1988;27:195-199.
  • 5Meng J X,Ji Y H.On a kind of restricted edge connectivity of graphs.Discrete Math,2003; 260:239-248.
  • 6Ou J P.Restricted edge connectivity and network reliability.Doctoral Dissertation,Xiamen University,2003.
  • 7Wang S Y,Lin S W,Li C F.Sufficient conditions for super k-restricted edge connectivity in graphs of diameter 2.Discrete Math,2009;309(4):908-919.
  • 8Bonsmap P,Ueffing N,Volkmann L.Edge-cuts leaving components of order at least three.Discrete Math,2002;256:431-439.
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  • 10王世英,林上为.网络边连通性的最优化[M].科学出版社,2009.

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