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有交双圈图邻接矩阵的奇异性
引用本文:谢小花,陈宝兴,陈宇.有交双圈图邻接矩阵的奇异性[J].漳州师范学院学报,2007,20(2):6-10.
作者姓名:谢小花  陈宝兴  陈宇
作者单位:福建省漳州师范学院数学系 福建漳州363000(谢小花),福建省漳州师范学院计算机科学系 福建漳州363000(陈宝兴,陈宇)
基金项目:福建省科技三项费资助项目
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.

关 键 词:有交双圈图  完美匹配  邻接矩阵  奇异性
文章编号:1008-7826(2007)02-0006-05
收稿时间:2006-07-29
修稿时间:2006-07-29

The Singularity of the Adjacency Matrix of an Interactive Bicycle Graph
XIE Xiao-hua,CHEN Bao-xing,CHEN Yu.The Singularity of the Adjacency Matrix of an Interactive Bicycle Graph[J].Journal of ZhangZhou Teachers College(Natural Science),2007,20(2):6-10.
Authors:XIE Xiao-hua  CHEN Bao-xing  CHEN Yu
Institution:1. Deptartment of Mathematics, Zhangzhou Normal University, Zhangzhou, Fujian 363000, China; 2. Deptartment of Computer Science, Zhangzhou Normal University, Zhangzhou, Fujian 363000, China
Abstract: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.
Keywords:interactive bicycle graphs  adjacency matrix  perfect matching  singularity
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