Various spectra and energies of commuting graphs of finite rings

Authors : Walaa Nabil Taha FASFOUS, Rajat NATH, Reza SHARAFDİNİ

Pages : 1915-1925

Doi:10.15672/hujms.540309

View : 13 | Download : 4

Publication Date : 2020-12-08

Article Type : Research Paper

Abstract :The commuting graph of a non-commutative ring $R$ with center $Zinsert ignore into journalissuearticles values(R);$ is a simple undirected graph whose vertex set is $R\setminus Zinsert ignore into journalissuearticles values(R);$ 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