亚循环群上凯莱图的谱及特征空间OA
Spectra and Eigenspaces of Cayley Graphs over Metacyclic Groups
基于群扩张的代数学观点,利用子群和商群的正规凯莱图构造分裂亚循环群上一类非正规的凯莱图,进而由邻接矩阵张量积的分析给出此类图的谱及特征空间,最终将其应用到该图的电阻距离及Kirchhoff 指标的计算.
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.
胡烜睿;陈阳
集美大学理学院,福建 厦门 361021集美大学理学院,福建 厦门 361021
数理科学
亚循环群凯莱图谱电阻距离Kirchhoff指标
metacyclic groupCayley graphspectrumresistance distanceKirchhoff index
《集美大学学报（自然科学版）》 2026 (3)
363-367,5
国家自然科学基金项目(12271210)
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