Spectral properties of the commuting graphs of certain groups

Let be a finite group. The commuting graph is a simple graph with vertex set and two vertices are adjacent if and only if they commute with each other. In this paper, the normalized and signless Laplacian spectra of the commuting graphs of certain classes of finite groups are computed.

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Bibliographic Details
Published in:AKCE International Journal of Graphs and Combinatorics 2019-12, Vol.16 (3), p.300-309
Main Authors: Torktaz, M., Ashrafi, A.R.
Format: Article
Language:English
Subjects:
Commuting graph
Normalized Laplacian spectrum
Signless Laplacian spectrum
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Description
Summary:Let be a finite group. The commuting graph is a simple graph with vertex set and two vertices are adjacent if and only if they commute with each other. In this paper, the normalized and signless Laplacian spectra of the commuting graphs of certain classes of finite groups are computed.
ISSN:0972-8600
2543-3474
DOI:10.1016/j.akcej.2018.09.006