Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra ( JLTA )2252-0201070220180601On Laplacian energy of non-commuting graphs of finite groups121132541040ENP.DuttaDepartment of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, IndiaR. K.NathDepartment of Mathematical Sciences, Tezpur University, Napaam-784028, Sonitpur, Assam, IndiaJournal Article20171213Let $G$ 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 $Gsetminus Z(G)$ 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..http://jlta.iauctb.ac.ir/article_541040_8cd3233041da38453ff594f7a7132513.pdf