Various energies of commuting graphs of some super integral groups

Parama Dutta () and Rajat Kanti Nath ()
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Parama Dutta: Lakhimpur Girls’ College
Rajat Kanti Nath: Tezpur University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 1, 1-10

Abstract: Abstract A simple undirected graph $$\Gamma _G$$ Γ G whose vertex set is the set of non-central elements of a finite group G and two vertices x and y are adjacent if they commute is called commuting graph of G. In this paper, we compute energy, Laplacian energy and signless Laplacian energy of $$\Gamma _G$$ Γ G for some classes of super integral groups.

Keywords: Commuting graph; Spectrum; Energy; Integral graph; Finite group; 20D99; 05C50; 15A18; 05C25 (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00131-7

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