Study of Cayley Digraphs over Polygroups

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F25%3A00563541" target="_blank" >RIV/60162694:G43__/25:00563541 - isvavai.cz</a>

Result on the web

<a href="http://www.mdpi.com/journal/mathematics" target="_blank" >http://www.mdpi.com/journal/mathematics</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math12172711" target="_blank" >10.3390/math12172711</a>

Result language

angličtina

Original language name

Study of Cayley Digraphs over Polygroups

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2024

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

MATHEMATICS

ISSN

2227-7390

e-ISSN

2227-7390

Volume of the periodical

12

Issue of the periodical within the volume

17

Country of publishing house

CH - SWITZERLAND

Number of pages

14

Pages from-to

2711

UT code for WoS article

001311169400001

EID of the result in the Scopus database

2-s2.0-85204148153