山西大学学报（自然科学版）2024，Vol.47Issue(6)：1148-1154,7.DOI:10.13451/j.sxu.ns.2023163
群V8n上Cayley有向图的谱
The Spectra of Cayley Digraphs of Group V8n
摘要
Abstract
In order to characterize the spectrum of a graph,in this paper we discuss the irreducible representations of group V8n=<a,b:a2n=b4=1,ba=a-1b-1,b-1a=a-1b>(n is odd).Using the irreducible representations and irreducible characters of the V8n,the spectrum of the Cayley digraph of V8n is given by means of the relationship between lifted digraph and Cayley digraph,and two examples of the main results are given.关键词
提升有向图/类商矩阵/谱/群的表示/群的特征标Key words
lifted digraph/Quotient-like matrix/spectrum/representations of groups/characters of groups分类
数理科学引用本文复制引用
徐梦修,王维忠..群V8n上Cayley有向图的谱[J].山西大学学报（自然科学版）,2024,47(6):1148-1154,7.基金项目
国家自然科学基金(11961040) （11961040）
甘肃省自然科学基金(20JR5RA418) （20JR5RA418）
