|本期目录/Table of Contents|

[1]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.
　HU Xuanrui,CHEN Yang.Spectra and Eigenspaces of Cayley Graphs over Metacyclic Groups[J].Journal of Jimei University,2026,31(3):363-367.
点击复制

亚循环群上凯莱图的谱及特征空间(PDF)
分享到：

《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第31卷
期数:
2026年第3期
页码:
363-367
栏目:
海洋信息与数理科学
出版日期:
2026-05-28

文章信息/Info

Title:
Spectra and Eigenspaces of Cayley Graphs over Metacyclic Groups
作者:
胡烜睿; 陈阳
(集美大学理学院,福建 厦门 361021)
Author(s):
HU Xuanrui; CHEN Yang
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
亚循环群; 凯莱图; 谱; 电阻距离; Kirchhoff指标
Keywords:
metacyclic group; Cayley graph; spectrum; resistance distance; Kirchhoff index
分类号:
-
DOI:
-
文献标志码:
A
摘要:
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。
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 adjacency matrices.Finally,these results are applied to calculate the resistance distances and Kirchhoff index.

参考文献/References:

相似文献/References:

[1]陈君竹,陈海燕.Zn3上凯莱图的电阻距离[J].集美大学学报(自然科学版),2025,30(6):608.
　CHEN Junzhu,CHEN Haiyan.On the Resistance Distances in Cayley Graphs of Zn3[J].Journal of Jimei University,2025,30(3):608.

备注/Memo

备注/Memo:
更新日期/Last Update: 2026-06-25