论文标题

在距离和距离(无迹象)的laplacian光谱上

On the distance & distance (signless) Laplacian spectra of non-commuting graphs

论文作者

Kalita, Jharna, Paul, Somnath

论文摘要

令$ z(g)$为有限的非亚洲集团$g。$ $ g $的非通知图是一个简单的无向图,带有顶点$ g \ setminus z(g),$ u $和$ u $和$ v $,ne vu n ne vu。某些类别的有限非亚伯族组的图形图,并在一组上获得一些条件,以便非交换图是距离,距离(无明显的)laplacian积分。

Let $Z(G)$ be the centre of a finite non-abelian group $G.$ The non-commuting graph of $G$ is a simple undirected graph with vertex set $G\setminus Z(G),$ and two vertices $u$ and $v$ are adjacent if and only if $uv\ne vu.$ In this paper, we investigate the distance, distance (signless) Laplacian spectra of non-commuting graphs of some classes of finite non-abelian groups, and obtain some conditions on a group so that the non-commuting graph is distance, distance (signless) Laplacian integral.

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