Work

Study of Cayley Digraphs over Polygroups

Year: 2024

Type: article

Abstract: In this paper we introduce Cayley digraphs associated to finitely generated polygroups, where the vertices correspond to finite products of the generators of polygroups and the edges to multiplication by vertices and generators. We investigate some properties of the Cayley digraphs, emphasizing connectivity and existence of cycles for each vertex of the Cayley digraphs. Particularly, we identify Cayley digraphs on polygroups derived from conjugate classes of dihedral groups. Moreover, we examine some fundamental illustrative examples of Cayley digraphs through the class of gmg-polygroups.

Source: Mathematics

DOI: 10.3390/math12172711

Authors: Ali Sanjabi, Morteza Jafarpour, Sarka Hoskova-Mayerova, Hossien Aghabozorgi, Alena Vagaska

Institutions: Vali Asr University of Rafsanjan, University of Defence, Technical University of Košice

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Ministerstvo Obrany České Republiky