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

Jia-Bao Liu, Jing Zhao and Zheng-Qun Cai

Physica A: Statistical Mechanics and its Applications, 2020, vol. 540, issue C

Abstract: 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.

Keywords: Weighted edge corona networks; Generalized adjacency matrix; Spanning trees; Kirchhoff index (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317352

DOI: 10.1016/j.physa.2019.123073

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