文献类型：期刊文献

英文题名：Distance-regular Cayley graphs over (pseudo-) semi-dihedral groups

作者：Huang, Xueyi[1];Lu, Lu[2];Zhan, Xiongfeng[1]

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

年份：2025

卷号：372

起止页码：95

外文期刊名：DISCRETE APPLIED MATHEMATICS

收录：;EI(收录号：20251518208622);WOS:【SCI-EXPANDED(收录号:WOS:001473054500001)】；

基金：The authors are grateful to the anonymous referees for their insightful comments and constructive suggestions. X. Huang was supported by the National Natural Science Foundation of China (No. 12471324) and Natural Science Foundation of Shanghai, China (No. 24ZR1415500) . L. Lu was supported by the National Natural Science Foundation of China (No. 12371362) .

语种：英文

外文关键词：Distance-regular graph; Cayley graph; Semi-dihedral group; Pseudo-semi-dihedral group

摘要：Distance-regular graphs constitute an important class of regular graphs exhibiting remarkable combinatorial symmetry. In 2007, Miklavi & ccaron; and Poto & ccaron;nik initiated the systematic study of distance-regular Cayley graphs, extending the classical problem of characterizing strongly regular Cayley graphs (equivalent to investigating regular partial difference sets). In this paper, we provide a partial characterization of distance-regular Cayley graphs over semi-dihedral groups and pseudo-semi-dihedral groups, both of which are 2-groups that contain a cyclic subgroup of index 2. (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.