集美大学学报（自然科学版）2026，Vol.31Issue(3)：363-367,5.DOI:10.19715/j.jmuzr.2026.03.10
亚循环群上凯莱图的谱及特征空间
Spectra and Eigenspaces of Cayley Graphs over Metacyclic Groups
摘要
Abstract
Based on the algebraic viewpoint of group extension,a class of non-normal Cayley graphs over split metacyclic groups is constructed by using the normal Cayley graphs of subgroups and quotient groups.Then,the spectra and eigenspaces of such graphs are explicitly given by analyzing the tensor product of adja-cency matrices.Finally,these results are applied to calculate the resistance distances and Kirchhoff index.关键词
亚循环群/凯莱图/谱/电阻距离/Kirchhoff指标Key words
metacyclic group/Cayley graph/spectrum/resistance distance/Kirchhoff index分类
数理科学引用本文复制引用
胡烜睿,陈阳..亚循环群上凯莱图的谱及特征空间[J].集美大学学报（自然科学版）,2026,31(3):363-367,5.基金项目
国家自然科学基金项目(12271210) （12271210）
