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A note on the generalized adjacency, Laplacian and signless Laplacian spectra of the weighted edge corona networks

Author

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  • Mahanta, Abhigyan
  • Gogoi, Idweep Jyoti
  • Bharali, A.

Abstract

Recently, Liu et al. (2020) have defined a class of the weighted edge corona networks and tried to obtain the generalized adjacency, Laplacian and signless Laplacian spectra. However, the spectra have been found to be prone to some errors and as a result we arrive at some unwanted consequences such as “non-singular” Laplacian, “imaginary” eigenvalues of undirected graphs. In this comment, we report the correct versions of adjacency, Laplacian and signless Laplacian spectra of weighted edge corona networks.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:581:y:2021:i:c:s0378437121005148
    DOI: 10.1016/j.physa.2021.126241
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    References listed on IDEAS

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    1. 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).
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    Cited by:

    1. Shang, Yilun, 2022. "Sombor index and degree-related properties of simplicial networks," Applied Mathematics and Computation, Elsevier, vol. 419(C).

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