Spectrum and genus of commuting graphs of some classes of finite rings

Jutirekha Dutta; Rajat Kanti Nath

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arXiv · 1604.02865

Spectrum and genus of commuting graphs of some classes of finite rings

Jutirekha Dutta·Rajat Kanti Nath

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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 the spectrum and genus of commuting graphs of some classes of finite rings.

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Jutirekha Dutta, Rajat Kanti Nath. 2016-04-11. Spectrum and genus of commuting graphs of some classes of finite rings. https://arxiv.org/abs/1604.02865

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