On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks
On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks
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加权边缘电晕网络的广义邻接、拉普拉斯谱和无符号拉普拉斯谱
DOI：
10.1016/j.physa.2019.123073
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发表时间：
2020-02-15
影响因子：
3.3
通讯作者：
Cai, Zheng-Qun
中科院分区：
文献类型：
--
作者：
Liu, Jia-Bao;Zhao, Jing;Cai, Zheng-Qun
现实世界中的许多问题，无论是自然问题还是人为问题，都可以用图表或网络来有效地表示。除了复杂的拓扑结构之外，权重也是表征真实网络某些属性的重要因素。在本文中，我们定义了一类加权边缘电晕产品网络。确定了具有两种不同结构的广义邻接（分别是拉普拉斯和无符号拉普拉斯）谱。作为应用，计算了加权边缘电晕乘积网络的生成树数量和基尔霍夫指数。 (C) 2019 Elsevier B.V. 保留所有权利。
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.