Various spectra and energies of commuting graphs of finite rings

Year 2020, Volume: 49 Issue: 6, 1915 - 1925, 08.12.2020

Walaa Nabil Taha Fasfous Rajat Nath , Reza Sharafdini

https://doi.org/10.15672/hujms.540309

Cited By: 11

https://izlik.org/JA82RL29BD

Abstract

The commuting graph of a non-commutative ring $R$ with center $Z(R)$ is a simple undirected graph whose vertex set is $R\setminus Z(R)$ 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.

Keywords

commuting graph , spectrum , energy , finite ring

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