On Laplacian energy of non-commuting graphs of finite groups

Journal of Linear and Topological Algebra

مقاله 2، دوره 07، شماره 02، شهریور 2018، صفحه 121-132   

نوع مقاله: Research Paper

نویسندگان

P. Dutta؛ R. K. Nath^*

Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India

چکیده

‎Let $G$ be a finite non-abelian group with center $Z(G)$‎. ‎The non-commuting graph of $G$ is a simple undirected graph whose vertex set is $G\setminus Z(G)$ and two vertices $x$ and $y$ are adjacent if and only if $xy \ne yx$‎. ‎In this paper‎, we compute Laplacian energy of the non-commuting graphs of some classes of finite non-abelian groups‎..

کلیدواژه‌ها

Non-commuting graph؛ L-spectrum؛ Laplacian energy؛ finite group

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