Title of article :
On Laplacian energy of non-commuting graphs of nite groups
Author/Authors :
Dutta, P. Department of Mathematical Sciences - Tezpur University, India , Nath, R. K. Department of Mathematical Sciences - Tezpur University, India
Abstract :
Let G be a nite non-abelian group with center Z(G). The non-commuting graph
of G is a simple undirected graph whose vertex set is G n Z(G) and two vertices x and y
are adjacent if and only if xy ̸= yx. In this paper, we compute Laplacian energy of the non- commuting graphs of some classes of nite non-abelian groups.
Keywords :
Non-commuting graph , L-spectrum , Laplacian energy , nite group
Journal title :
Astroparticle Physics
