On Classification of 2-Arc Transitive Cayley Graphs of the Dicyclic Group

被引：0
|
作者：
Shahsavaran, M. [1 ]
Darafsheh, M. R. [1 ]
Salarian, M. R. [2 ]
机构：
[1] Univ Tehran, Sch Math Stat & Comp Sci, Coll Sci, Tehran, Iran
[2] Kharazmi Univ, Dept Math Stat & Comp Sci, Tehran, Iran
来源：
GRAPHS AND COMBINATORICS | 2019年 / 35卷 / 05期
关键词：
Cayley graph; 2-Arc transitive Cayley graph; Core-free Cayley graph; Dicyclic group; Classification of 2-arc transitive Cayley graphs; 2-ARC-TRANSITIVE REGULAR COVERS; K-N;
D O I：
10.1007/s00373-019-02069-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we first determine all possible connected core-free 2-arc transitive Cayley graphs of the dicyclic group, B-4n, and then show that this can be used to classify all connected 2-arc transitive Cayley graphs of this group in terms of regular cyclic covers, provided that we also know connected core-free 2-arc transitive Cayley graphs of the dihedral group.
引用
收藏
页码：1179 / 1195
页数：17
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