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  • 覃城阜,谭丽.k-连通图的可收缩边[J].广西科学,2010,17(4):287-291.    [点击复制]
  • QIN Cheng-fu,TAN Li.Contractible Edges of k-connected Graphs[J].Guangxi Sciences,2010,17(4):287-291.   [点击复制]
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k-连通图的可收缩边
覃城阜, 谭丽
0
(广西师范学院数学科学学院, 广西南宁 530023)
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.
关键词:  k-连通图  可收缩边  断片
DOI:
投稿时间:2010-03-09修订日期:2010-04-06
基金项目:This research was supported by Guangxi Natural Science Foundation(No:0991101).
Contractible Edges of k-connected Graphs
QIN Cheng-fu, TAN Li
(School of Mathematics Science, Guangxi Teachers Education University, Nanning, Guangxi, 530023, China)
Abstract:
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.
Key words:  k-connected graph  contractible edge  fragment

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