CI-property of C2 p × Cn and C2 p ×C2 q for digraphs

CI-property of C2 p × Cn and C2 p ×C2 q for digraphs Full article

Journal

Journal of Combinatorial Theory. Series A
ISSN: 0097-3165 , E-ISSN: 1096-0899

Output data

Year: 2023, Volume: 196, Article number : 105738, Pages count : 29 DOI: 10.1016/j.jcta.2023.105738

Tags

Cayley graph, CI-property, Schur ring

Authors

Kovács István ¹ , Muzychuk Mikhail ² , Pálfy Péter P. ³ , Ryabov Grigory ^4,5 , Somlai Gábor ⁶

Affiliations

1	University of Primorska
2	Ben-Gurion University of the Negev
3	Alfréd Rényi Institute of Mathematics
4	Sobolev Institute of Mathematics
5	Novosibirsk State Technical University
6	Eötvös Loránd University

Funding (1)

Министерство науки и высшего образования РФ
Mathematical Center in Akademgorodok

075-15-2019-1613, 075-15-2022-281

We prove that the direct product of two coprime order elementary abelian groups of rank two, as well as the direct product of a cyclic group of prime order and a cyclic group of square-free order are DCI-groups. The latter is a generalization of Muzychuk's result on cyclic groups (J. Combin. Theory Ser. A, 1995)

Kovács I. , Muzychuk M. , Pálfy P.P. , Ryabov G. , Somlai G.
CI-property of C2 p × Cn and C2 p ×C2 q for digraphs
Journal of Combinatorial Theory. Series A. 2023. V.196. 105738 :1-29. DOI: 10.1016/j.jcta.2023.105738 WOS Scopus РИНЦ OpenAlex

Submitted:	Jan 4, 2022
Accepted:	Jan 13, 2023
Published online:	Feb 3, 2023
Published print:	May 17, 2023

Web of science:	WOS:001010744600001
Scopus:	2-s2.0-85147455324
Elibrary:	60640595
OpenAlex:	W4319069684

DB	Citing
Scopus	4
Web of science	3
OpenAlex	2