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Research Article | Open Access

A new class of directed strongly regular Cayley graphs over dicyclic groups

Tao Cheng1, Junchao Mao2( )
School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, Shandong, China
Naval Submarine Academy, Qingdao 266044, Shandong, China
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Abstract

We endeavored to investigate directed strongly regular Cayley graphs (or DSRCG for short) over dicyclic groups Dic4n=⟨α,β|αn=β4=1,β−1αβ=α−1⟩, where n is odd. We derived several DSRCGs over Dic4n for n odd. We then derived a criterion for a certain class of Cayley graph to be directed strongly regular.

Keywords

directed strongly regular Cayley graphgroup algebradicyclic groups
CLC number: 05C25, 05C50

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 24184-24192
DOI: 10.3934/math.20241176

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Cite this article:
Cheng T, Mao J. A new class of directed strongly regular Cayley graphs over dicyclic groups. AIMS Mathematics, 2024, 9(9): 24184-24192. https://doi.org/10.3934/math.20241176

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Received: 25 June 2024
Revised: 02 August 2024
Accepted: 06 August 2024
Published: 15 September 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)