混合图的H-Estrada指标  

H-Estrada indices of mixed graphs

作　　者：高楠[1,2] 李美丽[2] 折延宏[2] GAO Nan;LI Meili;SHE Yanhong(Department of Applied Mathematics, School of Science, Northwestern Polytechnical University, Xi’an 710072, China;College of Science, Xi’an Shiyou University, Xi’an 710065, China)

机构地区：[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　　处：《计算机工程与应用》2017年第2期12-14,共3页Computer Engineering and Applications

基　　金：国家自然科学基金(No.61472471);陕西省教育厅专项科研计划项目(No.15JK1573)

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。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.

关 键 词：混合图 Hermitian邻接矩阵 H-Estrada指标 

分 类 号：O157.5[理学—数学]