| 关于单圈图与无交双圈图的邻接矩阵的行列式 |
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| 引用本文： | 谢小花,陈宝兴,陈宇.关于单圈图与无交双圈图的邻接矩阵的行列式[J].数学研究,2007,40(3):332-337. |
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| 作者姓名： | 谢小花 陈宝兴 陈宇 |
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| 作者单位： | 1. 福建省漳州师范学院数学系,漳州,363000
2. 福建省漳州师范学院计算机科学系,漳州,363000 |
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| 基金项目： | 福建省自然科学基金;漳州师范学院科研经费资助 |
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| 摘 要： | 研究图的邻接矩阵的行列式主要是为了研究图的零特征值的重数，而零特征值的重数在化学分子结构图的稳定性问题中有广泛的应用．本文给出了单圈图及无交双圈图的邻接矩阵的行列式分类．
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| 关 键 词： | 单圈图 无交双圈图 完美匹配 邻接矩阵 行列式 |
| 修稿时间： | 2006-07-10 |
On the Determinant of the Adjacency Matrix of a Graph With One Cycle or Non-interactive Bicycle |
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| Xie Xiaohua,Chen Baoxing,Chen Yu.On the Determinant of the Adjacency Matrix of a Graph With One Cycle or Non-interactive Bicycle[J].Journal of Mathematical Study,2007,40(3):332-337. |
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| Authors: | Xie Xiaohua Chen Baoxing Chen Yu |
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| Abstract: | In this paper we studies the determinant of the adjacency matrix of a graph especially the multiplicity of their zero eigenvalue, which is widely applied in the stability of the chemical molecules. The determinants of the adjacency matrices of a graph with one cycle and a graph with non-interactive bicycle are considered in this paper. |
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| Keywords: | graph with one cycle graph with non-interactive bicycle adjacency matrix perfect matching determinant |
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