Various spectra and energies of commuting graphs of finite rings, By Reza Sharafdini

Research

Title	Various spectra and energies of commuting graphs of finite rings
Type	Article
Keywords	commuting graph, spectrum, energy, finite ring
Journal	Hacettepe Journal of Mathematics and Statistics
DOI	10.15672/hujms.540309
Researchers	Walaa Nabil Taha Fasfous (First researcher) , Rajat Kanti Nath (Second researcher) , Reza Sharafdini (Third researcher)

Abstract

The commuting graph of a non-commutative ring R with center Z(R) is a simple undi- rected graph whose vertex set is R \ Z(R) and two vertices x, y are adjacent if and only if xy = yx. In this paper, we compute various spectra and energies of commuting graphs of some classes of finite rings and study their consequences.