%0 Journal Article
%T 一类p-群的非交换图的谱性质<br>The Properties of Spectrum of Non-Commuting Graphs of a Class of p-Groups
%A 吴杨
%A 朱清江
%J Pure Mathematics
%P 549-556
%@ 2160-7605
%D 2024
%I Hans Publishing
%R 10.12677/PM.2024.142053
%X 有限非交换群的非交换图是一类简单无向图，它以群的非中心元为顶点，两顶点相邻接当且仅当它们的乘积不可交换。本文研究了p<sup>3</sup>阶群的非交换图的相关谱性质，包括邻接谱、拉普拉斯谱，拟拉普拉斯谱以及正规拉普拉斯谱等。<br />
Non-commuting graphs of finite non-abelian groups are a class of simple undirected graphs that take the non-central elements of the group as vertices, and two vertices are adjacent if and only if their product is non commutative. This paper investigates the spectral properties of non-commuting graphs of groups of order p<sup>3</sup>, including adjacency spectra, Laplace spectra, quasi-Laplace spectra, and normal-Laplace spectra.
%K 有限群，非交换图，图的谱，邻接谱，(拟、正规)拉普拉斯谱<br>Finite Groups
%K Non-Commuting Graph
%K The Spectrum of a Graph
%K Adjacency Spectrum
%K (Quasi-
%K Normal-) Laplace Spectrum
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=81417