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# Keywords = Non-commuting graph
Number of Articles: 2

##### 1. On Laplacian energy of non-commuting graphs of finite groups

*Volume 07, Issue 02 , Spring 2018, , Pages 121-132*

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**Abstract **

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 ...
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##### 2. On the energy of non-commuting graphs

*Volume 06, Issue 02 , Spring 2017, , Pages 135-146*