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6连通图完美匹配上的可收缩边 被引量:1

Contractible Edges for the Perfect Match of 6-Connected Graphs
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摘要 采用分类讨论的方法,研究了6-连通图中可收缩边在完美匹配上的分布情况,得到了如下新结果.设G是阶大于12的6-连通图,M是G的一个完美匹配,若图G的任意断片的阶都大于3,则M上至少有2条可收缩边. With the method of classification discussion,the new result relating to the disposition of the contractible edges in the perfect match of 6-connected graph is given.Let G be a 6-connected graph with the order bigger than 12 and M is a perfect match,if the order of the graph's arbitrary fragments is bigger than 3,there will be at least two contractible edges in M.
出处 《江西师范大学学报(自然科学版)》 CAS 北大核心 2010年第6期590-593,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 河南省高校科技创新人才支持计划(2008HASTIT023) 河南省杰出青年计划(084100510013)资助项目
关键词 连通图 完美匹配 可收缩边 connected graph perfect match contractible edge
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