The energy and spectrum of non commuting graph
Group Theory
2019-02-05 v1
Abstract
Let G be a non-abelian group and Z(G) be the center of G. The non-commuting graph {\Gamma}(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 \times D2n and G \times H, where G is a non-abelian finite group and H is an abelian finite group
Keywords
Cite
@article{arxiv.1902.00690,
title = {The energy and spectrum of non commuting graph},
author = {Sayyed Heidar Jafari and Maryam Nasiri},
journal= {arXiv preprint arXiv:1902.00690},
year = {2019}
}
Comments
15 pages