On distance-regular Cayley graphs of generalized dicyclic groups

被引：2

作者：

Huang, Xueyi ^{[1
,2
]}

Das, Kinkar Chandra ^{[2
]}

机构：

[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

[2] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

来源：

DISCRETE MATHEMATICS | 2022年 / 345卷 / 10期

基金：

新加坡国家研究基金会; 中国国家自然科学基金;

关键词：

Distance-regular graph; Cayley graph; Generalized dicyclic group;

D O I：

10.1016/j.disc.2022.112984

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a generalized dicyclic group with identity 1. An inverse closed subset S of G \ {1} is called minimal if < S > = G and there exists some s is an element of S such that < S \ {s, s(-1)}> not equal G. In this paper, we characterize distance-regular Cayley graphs Cay(G, S) of G under the condition that S is minimal. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：6

共 50 条

[1] Distance-regular Cayley graphs over dicyclic groups
Xueyi Huang
Kinkar Chandra Das
Lu Lu
[J]. Journal of Algebraic Combinatorics, 2023, 57 : 403 - 420
[2] Distance-regular Cayley graphs over dicyclic groups
Huang, Xueyi
Das, Kinkar Chandra
Lu, Lu
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2023, 57 (02) : 403 - 420
[3] On minimal distance-regular Cayley graphs of generalized dihedral groups
Miklavic, Stefko
Sparl, Primoz
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2020, 27 (04): : 1 - 16
[4] Distance-regular Cayley graphs on dihedral groups
Miklavic, Stefko
Potocnik, Primoz
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2007, 97 (01) : 14 - 33
[5] On distance-regular Cayley graphs on abelian groups
Miklavic, Stefko
Sparl, Primoz
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2014, 108 : 102 - 122
[6] On Cayley graphs over generalized dicyclic groups
Behajaina, Angelot
Legrand, Francois
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 642 : 264 - 284
[7] Distance-regular Cayley graphs with small valency
van Dam, Edwin R.
Jazaeri, Mojtaba
[J]. ARS MATHEMATICA CONTEMPORANEA, 2019, 17 (01) : 203 - 222
[8] On Bipartite Distance-Regular Cayley Graphs with Small Diameter
van Dam, Edwin R.
Jazaeri, Mojtaba
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2022, 29 (02):
[9] Distance-integral Cayley graphs over abelian groups and dicyclic groups
Jing Huang
Shuchao Li
[J]. Journal of Algebraic Combinatorics, 2021, 54 : 1047 - 1063
[10] Distance-integral Cayley graphs over abelian groups and dicyclic groups
Huang, Jing
Li, Shuchao
[J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2021, 54 (04) : 1047 - 1063

← 1 2 3 4 5 →