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无交三圈图的邻接矩阵的奇异性

The Singular of the Adjacency Matrix of Graphs with Non-interactive Three-circle
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摘要 一个连通的简单图G如果含有三个无公共顶点的圈,则称G是无交三圈图.文章给出了无交三圈图的邻接矩阵是奇异的充分条件,邻接矩阵最大行列式为64. A simple connected graph G is called a non-interactive three-circle graph when three cycles in G have no common vertices. This paper considers some sufficient conditions of the adjacency matrices of a graph with non-interactive three-circle and puts forward that the maximum determinant of the adjacency matrix of graphs with non-interactive three-circle is 64.
作者 刘杰
出处 《三明学院学报》 2008年第2期138-143,共6页 Journal of Sanming University
关键词 无交三圈图 完美匹配 邻接矩阵 non-interactive three-circle graphs perfect matching adjacency matrix
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