文献类型：期刊文献

英文题名：Distance-regular Cayley graphs over dicyclic groups

作者：Huang, Xueyi[1,2];Das, Kinkar Chandra[2];Lu, Lu[3]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China;[2]Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea;[3]Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

年份：2023

卷号：57

期号：2

起止页码：403

外文期刊名：JOURNAL OF ALGEBRAIC COMBINATORICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000906936800007)】；

基金：The authors are much grateful to two anonymous referees for their valuable comments on our paper, which have considerably improved the presentation of this paper. X. Huang is supported by National Natural Science Foundation of China (Grant No. 11901540). K. C. Das is supported by National Research Foundation funded by the Korean government (Grant No. 2021R1F1A1050646). L. Lu is supported by National Natural Science Foundation of China (Grant No. 12001544) and Natural Science Foundation of Hunan Province (Grant No. 2021JJ40707).

语种：英文

外文关键词：Distance-regular graph; Cayley graph; Dicyclic group

摘要：The characterization of distance-regular Cayley graphs originates from the problem of identifying strongly regular Cayley graphs, or equivalently, regular partial difference sets. In this paper, a partial classification of distance-regular Cayley graphs on dicyclic groups is obtained. More specifically, it is shown that every distance-regular Cayley graph on a dicyclic group is a complete graph, a complete multipartite graph, or a non-antipodal bipartite distance-regular graph with diameter 3 satisfying some additional conditions.