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

Autor: Tao Cheng, Junchao Mao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 9, Pp 24184-24192 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241176?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals