On Laplacian energy of non-commuting graphs of finite groups
الموضوعات :
1 - Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India
2 - Department of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, India
الکلمات المفتاحية: Non-commuting graph, L-spectrum, Laplacian energy, finite group,
ملخص المقالة :
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..
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