On distance-regular Cayley graphs of generalized dicyclic groups

Xueyi Huang; Kinkar Chandra Das

doi:10.1016/j.disc.2022.112984

On distance-regular Cayley graphs of generalized dicyclic groups

Xueyi Huang
, Kinkar Chandra Das

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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∈S such that 〈S∖{s,s⁻¹}〉≠G. In this paper, we characterize distance-regular Cayley graphs Cay(G,S) of G under the condition that S is minimal.

Original language	English
Article number	112984
Journal	Discrete Mathematics
Volume	345
Issue number	10
DOIs	https://doi.org/10.1016/j.disc.2022.112984
State	Published - Oct 2022

Keywords

Cayley graph
Distance-regular graph
Generalized dicyclic group

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10.1016/j.disc.2022.112984

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title = "On distance-regular Cayley graphs of generalized dicyclic groups",

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∈S such that 〈S∖\{s,s−1\}〉≠G. In this paper, we characterize distance-regular Cayley graphs Cay(G,S) of G under the condition that S is minimal.",

keywords = "Cayley graph, Distance-regular graph, Generalized dicyclic group",

author = "Xueyi Huang and Das, \{Kinkar Chandra\}",

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AU - Das, Kinkar Chandra

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N2 - 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∈S such that 〈S∖{s,s−1}〉≠G. In this paper, we characterize distance-regular Cayley graphs Cay(G,S) of G under the condition that S is minimal.

AB - 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∈S such that 〈S∖{s,s−1}〉≠G. In this paper, we characterize distance-regular Cayley graphs Cay(G,S) of G under the condition that S is minimal.

KW - Cayley graph

KW - Distance-regular graph

KW - Generalized dicyclic group

UR - https://www.scopus.com/pages/publications/85130399432

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DO - 10.1016/j.disc.2022.112984

M3 - Article

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SN - 0012-365X

VL - 345

JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 10

M1 - 112984

ER -

On distance-regular Cayley graphs of generalized dicyclic groups

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Keywords

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