THE NORMALITY OF CAYLEY GRAPHS OF FINITE ABELIAN GROUPS WITH VALENCY 5

被引:7
|
作者
Young-Gheel Baik (Department of Applied Mathematics Pukyong National University Pusan 608-737
机构
关键词
Cayley graph; normal Cayley digraph;
D O I
暂无
中图分类号
O157.5 [图论];
学科分类号
070104 ;
摘要
We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation of G is normal in the full automorphism group Ant(X) of X. In this paper, we give a classification of all nonnormal Cayley graphs of finite abelian groups with valency 5.
引用
收藏
页码:425 / 431
页数:7
相关论文
共 50 条
  • [1] On the normality of Cayley graphs of Abelian groups
    Baik, YG
    Feng, YQ
    Sim, HS
    Xu, MY
    [J]. ALGEBRA COLLOQUIUM, 1998, 5 (03) : 297 - 304
  • [2] Arc-transitive Cayley Graphs of Valency Five on Abelian Groups
    Alaeiyan, Mehdi
    Talebi, Ali A.
    Paryab, Khalil
    [J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2008, 32 (06) : 1029 - 1035
  • [3] Domination Number of Cayley Graphs on Finite Abelian Groups
    Iranmanesh, Mohammad A.
    Moghaddami, Nasrin
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A5): : 2523 - 2530
  • [4] Spectra of Generalized Cayley Graphs on Finite Abelian Groups
    Zhu, Xiaomin
    Yang, Xu
    Chen, Jing
    [J]. ALGEBRA COLLOQUIUM, 2023, 30 (01) : 97 - 110
  • [5] Domination Number of Cayley Graphs on Finite Abelian Groups
    Mohammad A. Iranmanesh
    Nasrin Moghaddami
    [J]. Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 2523 - 2530
  • [6] On Automorphism Groups of Symmetric Cayley Graphs of Finite Simple Groups with Valency Six
    Fang, Xingui
    Niu, Pu
    Wang, Jie
    [J]. ALGEBRA COLLOQUIUM, 2010, 17 (01) : 161 - 172
  • [7] Cayley graphs on abelian groups
    Edward Dobson
    Pablo Spiga
    Gabriel Verret
    [J]. Combinatorica, 2016, 36 : 371 - 393
  • [8] On Cayley graphs of Abelian groups
    Li, CH
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 1998, 8 (02) : 205 - 215
  • [9] Cayley graphs on abelian groups
    Dobson, Edward
    Spiga, Pablo
    Verret, Gabriel
    [J]. COMBINATORICA, 2016, 36 (04) : 371 - 393
  • [10] On Cayley Graphs of Abelian Groups
    Cai Heng Li
    [J]. Journal of Algebraic Combinatorics, 1998, 8 : 205 - 215