| 图的广义距离特征值 |
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| 引用本文： | 卢鹏丽,钟雨.图的广义距离特征值[J].兰州理工大学学报,2022,48(5):148. |
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| 作者姓名： | 卢鹏丽 钟雨 |
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| 作者单位： | 兰州理工大学 计算机与通信学院, 甘肃 兰州 730050 |
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| 基金项目： | 国家自然科学基金(11361033,11861045,62162040) |
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| 摘 要： | 图G的广义距离矩阵定义为Dα(G)=αTr(G)+(1－α)D(G),0≤α≤1,其中D(G)和Tr(G)分别表示图G的距离矩阵和传递度对角矩阵.研究了广义距离相关谱,给出了其谱半径、第二大特征值的界,及自补图的广义距离谱.
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| 关 键 词： | 广义距离矩阵 广义距离谱半径 自补图 |
| 收稿时间： | 2021-12-21 |
The generalized distance eigenvalues of graphs |
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| LU Peng-li,ZHONG Yu.The generalized distance eigenvalues of graphs[J].Journal of Lanzhou University of Technology,2022,48(5):148. |
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| Authors: | LU Peng-li ZHONG Yu |
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| Institution: | School of Computer and Communication, Lanzhou Univ. of Tech., Lanzhou 730050, China |
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| Abstract: | The generalized distance matrix of a connected graph G is defined asDα(G)=αTr(G)+(1－α)D(G), 0≤α≤1, where D(G) and Tr(G) represent the distance matrix and diagonal matrix of the transmissions of G, respectively. In this paper, the generalized distance correlation spectrum is studied, with the bounds of the spectrum radius, the second largest eigenvalue, and the generalized distance spectrum of the self-complementary graph given. |
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| Keywords: | generalized distance matrix generalized distance spectral radius self-complementary graph |
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