| 图的Seidel Laplacian-Estrada指标 |
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| 引用本文： | 孔祥瑀,吴宝丰.图的Seidel Laplacian-Estrada指标[J].上海理工大学学报,2019,41(4):327-330. |
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| 作者姓名： | 孔祥瑀 吴宝丰 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093,上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 国家自然科学基金资助项目（11301340）；沪江基金资助项目（B14005） |
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| 摘 要： | 设G为简单图,d_i表示顶点v_i的度,G的Seidel Laplacian矩阵S_L(G)是一个对角元为n-1-2d_i,非对角元为±1的实对称矩阵,当顶点v_i和v_j相邻时,(S_L(G))_(ij)=1,否则,(S_L(G))_(ij)=-1。引入并研究了Seidel Laplacian矩阵的Estrada指标,给出了该指标的上、下界,以及它与Seidel Laplacian能量之间的关系。
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| 关 键 词： | Seidel Laplacian矩阵 Seidel Laplacian-Estrada指标 Seidel Laplacian能量 界 |
| 收稿时间： | 2018/5/7 0:00:00 |
Seidel Laplacian-Estrada Index of Graphs |
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| KONG Xiangyu and WU Baofeng.Seidel Laplacian-Estrada Index of Graphs[J].Journal of University of Shanghai For Science and Technology,2019,41(4):327-330. |
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| Authors: | KONG Xiangyu and WU Baofeng |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China and College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | Let G be a simple graph and di be the degree of the vertex vi. The Seidel Laplacian matrix of a graph G is a real symmetric matrix with diagonal elements of n-1-2di and off-diagonal elements of ±1. If the vertices vi and vj are adjacent, (SL(G))ij=1, and otherwise, (SL(G))ij=-1. The Seidel Laplacian-Estrada index was introduced and investigated. The upper and lower bounds for the Seidel Laplacian-Estrada index, and the relationship between the Seidel Laplacian-Estrada index and the Seidel Laplacian energy are provided. |
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| Keywords: | Seidel Laplacian matrix Seidel Laplacian-Estrada index Seidel Laplacian energy bound |
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