混合图的H-Estrada指标

doi:10.3778/j.issn.1002-8331.1605-0085

计算机工程与应用 ›› 2017, Vol. 53 ›› Issue (2): 12-14.DOI: 10.3778/j.issn.1002-8331.1605-0085

混合图的H-Estrada指标

高楠1，2，李美丽2，折延宏2

1.西北工业大学理学院应用与数学系，西安 710072
2.西安石油大学理学院，西安 710065

出版日期:2017-01-15 发布日期:2017-05-11

H-Estrada indices of mixed graphs

GAO Nan1，2, LI Meili2, SHE Yanhong2

1.Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi’an 710072, China
2.College of Science, Xi’an Shiyou University, Xi’an 710065, China

Online:2017-01-15 Published:2017-05-11

摘要/Abstract

摘要： 混合图的Hermitian邻接矩阵是共轭矩阵，其全体特征值称为混合图的H-谱。借助该矩阵的许多性质能更有效地研究混合图。基于H-谱引出混合图的一个重要拓扑指标——H-Estrada指标。拟用数学分析的方法，对其性质做数理研究。

关键词: 混合图, Hermitian邻接矩阵, H-Estrada指标

Abstract: The Hermitian adjacency matrix of a mixed graph is a conjugate matrix and its all eigenvalues are called H-spectrum of the mixed graph. It has many of the properties that are most useful for dealing with mixed graphs. In this paper, H-Estrada index of the mixed graph is introduced which is a new H-spectrum-based invariant of the mixed graph. Its mathematical properties are studied by mathematical analysis.

Key words: mixed graph, Hermitian adjacency matrix, H-Estrada index

高楠1，2，李美丽2，折延宏2. 混合图的H-Estrada指标[J]. 计算机工程与应用, 2017, 53(2): 12-14.

GAO Nan1，2, LI Meili2, SHE Yanhong2. H-Estrada indices of mixed graphs[J]. Computer Engineering and Applications, 2017, 53(2): 12-14.

混合图的H-Estrada指标

H-Estrada indices of mixed graphs

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