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k-连通图的可收缩边(英文)
引用本文:覃城阜,谭丽. k-连通图的可收缩边(英文)[J]. 广西科学, 2010, 17(4): 287-291
作者姓名:覃城阜  谭丽
作者单位:广西师范学院数学科学学院,广西南宁530023
基金项目:This research was supported by Guangxi Natural Science Foundation (No:0991101).
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
收稿时间:2010-03-09
修稿时间:2010-04-06

Contractible Edges of k-connected Graphs
QIN Cheng-fu and TAN Li. Contractible Edges of k-connected Graphs[J]. Guangxi Sciences, 2010, 17(4): 287-291
Authors:QIN Cheng-fu and TAN Li
Affiliation:(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.
Keywords:k-connected graph  contractible edge  fragment
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