Various spectra and energies of commuting graphs of finite rings

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

References

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