Energy of commuting graph of finite groups whose centralizers are Abelian

2017/04/21 by Reza Sharafdini, Rajat Kanti Nath, Sharafdini, Reza +3
Materials Science · Mathematics · #05A15 #05C12 #05C25 #20D60 #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.1704.06464

openalex publication_date 2017/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let Γ be a graph with the adjacency matrix A. The energy of Γ is the sum of the absolute values of the eigenvalues of A. In this article we compute the energies of the commuting graphs of some finite groups and discuss some consequences.

Citations

• On Laplacian energy of non-commuting graphs of finite groups

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