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有交双圈图邻接矩阵的奇异性 被引量:2

The Singularity of the Adjacency Matrix of an Interactive Bicycle Graph
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摘要 含有n个顶点,n+1条边的简单连通图称为双圈图.若双圈图G中存在两个圈,它们有公共交点,则称G是有交双圈图.本文给出了有交双圈图的邻接矩阵是奇异的充分必要条件. A simple connected graph is called a bicycle graph if it has n vertices and n+1 edges. A bicycle graph G is called an interactive bicycle graph if there exist two cycles in G which have common vertices. The sufficient and necessary conditions for the adjacency matrix of an interactive bicycle graph to be singular are given in this paper.
出处 《漳州师范学院学报(自然科学版)》 2007年第2期6-10,共5页 Journal of ZhangZhou Teachers College(Natural Science)
基金 福建省科技三项经费资助项目(2006F5068)
关键词 有交双圈图 完美匹配 邻接矩阵 奇异性 interactive bicycle graphs adjacency matrix perfect matching singularity
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