| 矩阵特征多项式的图论计算公式 |
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| 引用本文： | 谭尚旺.矩阵特征多项式的图论计算公式[J].纯粹数学与应用数学,2009,25(2):209-216. |
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| 作者姓名： | 谭尚旺 |
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| 作者单位： | 中国石油大学应用数学系,山东,东营,257061 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 给出了赋权有向图邻接矩阵特征多项式的图论计算公式，从而得到了一般矩阵特征多项式的图论计算方法，并且研究了赋权有向图邻接矩阵特征多项式和谱半径的一些性质．
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| 关 键 词： | 矩阵 赋权有向图 线性子图 特征多项式 |
On formulas calculating the characteristic polynomial of matrices in graph theory |
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| TAN Shang-wang.On formulas calculating the characteristic polynomial of matrices in graph theory[J].Pure and Applied Mathematics,2009,25(2):209-216. |
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| Authors: | TAN Shang-wang |
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| Institution: | TAN Shang-wang (Department of Applied Mathematics,China University of Petroleum,Dongying 257061,China) |
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| Abstract: | We obtain formulas computing the characteristic polynomial of adjacent matrix of a weighted digraph in graph theory, thereby the methods computing the characteristic polynomial of a matrix in graph theory are derived and some properties of characteristic polynomial and spectral radius of adjacent matrix on a weighted digraph are investigated. |
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| Keywords: | matrix weighted digraph linear subgraph characteristic polynomial |
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