On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks

被引：92
|
作者：
Liu, Jia-Bao [1 ]
Zhao, Jing [1 ]
Cai, Zheng-Qun [2 ]
机构：
[1] Anhui Jianzhu Univ, Sch Math & Phys, Hefei 230601, Peoples R China
[2] Anhui Jianzhu Univ, Sch Foreign Studies, Hefei 230601, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 540卷
基金：
美国国家科学基金会; 中国博士后科学基金;
关键词：
Weighted edge corona networks; Generalized adjacency matrix; Spanning trees; Kirchhoff index; DEGREE-KIRCHHOFF INDEX; NORMALIZED LAPLACIAN; SPANNING-TREES; SCALE-FREE;
D O I：
10.1016/j.physa.2019.123073
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Many problems in real world, either natural or man-made, can be usefully represented by graphs or networks. Along with a complex topological structure, the weight is a vital factor in characterizing some properties of real networks. In this paper, we define a class of the weighted edge corona product networks. The generalized adjacency (resp., Laplacian and signless Laplacian) spectra with two different structures are determined. As applications, the number of spanning trees and Kirchhoff index of the weighted edge corona product networks are computed. (C) 2019 Elsevier B.V. All rights reserved.
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页数：11
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