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
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。
Abstract: 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.
文章引用：吴杨, 朱清江. 一类p-群的非交换图的谱性质[J]. 理论数学, 2024, 14(2): 549-556. https://doi.org/10.12677/PM.2024.142053

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