A new class of directed strongly regular Cayley graphs over dicyclic groups-Reference-Cited by-同舟云学术

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

Published:2024 Issue:9 Volume:9 Page:24184-24192
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Cheng Tao¹,Mao Junchao²

Affiliation:

1. School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, Shandong, China

2. Naval Submarine Academy, Qingdao 266044, Shandong, China

Abstract

<p>We endeavored to investigate directed strongly regular Cayley graphs (or DSRCG for short) over dicyclic groups $ \operatorname{Dic}_{4n} = \langle \alpha, \beta\; |\; \alpha^{n} = \beta^4 = 1, \beta^{-1}\alpha\beta = \alpha^{-1}\rangle $, where $ n $ is odd. We derived several DSRCGs over $ \operatorname{Dic}_{4n} $ for $ n $ odd. We then derived a criterion for a certain class of Cayley graph to be directed strongly regular.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

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