一类p-群的非交换图的谱性质  

The Properties of Spectrum of Non-Commuting Graphs of a Class of p-Groups

作　　者：吴杨 朱清江 

机构地区：[1]重庆理工大学理学院,重庆

出　　处：《理论数学》2024年第2期549-556,共8页Pure Mathematics

摘　　要：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p3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。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 p3, including adjacency spectra, Laplace spectra, quasi-Laplace spectra, and normal-Laplace spectra.

关 键 词：有限群 非交换图 图的谱 邻接谱 (拟、正规)拉普拉斯谱 

分 类 号：O15[理学—数学]