On distance-regular Cayley graphs of generalized dicyclic groups期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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On distance-regular Cayley graphs of generalized dicyclic groups

Institution:	1. School of Mathematics, East China University of Science and Technology, Shanghai 200237, PR China;2. Department of Mathematics, Sungkyunkwan University, Suwon 16419, Republic of Korea

Abstract:	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 $s \in S$ such that $〈 S ? {s, s^{? 1}} 〉 \neq G$ . In this paper, we characterize distance-regular Cayley graphs $Cay (G, S)$ of G under the condition that S is minimal.

Keywords:	Distance-regular graph Cayley graph Generalized dicyclic group
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