|本期目录/Table of Contents|

[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,(6):608-612.
　CHEN Junzhu,CHEN Haiyan.On the Resistance Distances in Cayley Graphs of Zn3[J].Journal of Jimei University,2025,(6):608-612.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
期数:
2025年第6期
页码:
608-612
栏目:
数理科学与信息工程
出版日期:
2025-11-25

文章信息/Info

Title:
On the Resistance Distances in Cayley Graphs of Zn3
作者:
陈君竹; 陈海燕
(集美大学理学院,福建 厦门 361021)
Author(s):
CHEN Junzhu; CHEN Haiyan
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
电网络; 电阻距离; 凯莱图
Keywords:
electrical network; resistance distance; Cayley graph
分类号:
-
DOI:
-
文献标志码:
A
摘要:
令Z3表示模3的剩余类加群,n个Z3的直和构成阿贝尔群,记作Zn3={s=s1…sn|sk∈{0,1,2},k=1,…,n}。考虑群Zn3上凯莱图任意两点之间的电阻距离。利用群Zn3的所有不可约特征标,得到其上凯莱图中任意两点间电阻距离的一个简化表达式,即只和正则度与特征值有关的表达式。最后利用此表达式计算了n=2和n=3的一些凯莱图电阻距离的具体值。
Abstract:
Let Z3 be the additive group of the residue class of module 3,and Zn3={s=s1…sn|sk∈{0,1,2},k=1,…,n}be the direct sum of Z3.In this paper,resistance distances were considered in the Cayley graphs on group Zn3.By using irreducible characters of Zn3,a uniform formula for the resistance distances was given only in terms of regular degree and eigen values of the Cayley graph.Using the uniform formula,the explicit values of resistance distances for some special Cayley graphs were calculated for n=2 and n=3,respectively.

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备注/Memo

备注/Memo:
更新日期/Last Update: 2025-12-22