The energy and spectrum of non commuting graph

2019/02/02 by Sayyed Heidar Jafari, Jafari, Sayyed Heidar, Maryam Nasiri +1
Computer Science · Mathematics · #05C50 #20D99 #FOS: Mathematics #Finite Group Theory Research #Graph Labeling and Dimension Problems #Graph theory and applications #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1902.00690

openalex publication_date 2019/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a non-abelian group and Z(G) be the center of G. The non-commuting graph Γ(G) of G is a graph with vertex set is non central elements of G and two vertices x, y are adjacent if and only if they are commute. In this paper we calculate the energy, Laplacian energy and spectrum of non-commuting graph of dihedral group D2n. Also we will obtain the energy of non-commuting graph of D2n × D2n and G × H, where G is a non-abelian finite group and H is an abelian finite group

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