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

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

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.

Suggested Citation

  • Liu, Jia-Bao & Zhao, Jing & Cai, Zheng-Qun, 2020. "On the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119317352
    DOI: 10.1016/j.physa.2019.123073
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    References listed on IDEAS

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    Cited by:

    1. Mahanta, Abhigyan & Gogoi, Idweep Jyoti & Bharali, A., 2021. "A note on the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).

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