@article{61b4a125ef9c4317b8ca1244757e7e3c,
title = "On monoids of endomorphisms of a cycle graph",
abstract = "In this paper, we consider endomorphisms of an undirected cycle graph from Semigroup Theory perspective. Our main aim is to present a process to determine sets of generators with minimal cardinality for the monoids wEndCn and EndCn of all weak endomorphisms and all endomorphisms of an undirected cycle graph Cn with n vertices. We also describe Green's relations and regularity of these monoids and calculate their cardinalities.",
keywords = "cycle graphs, generators, Graph endomorphisms, rank",
author = "Ilinka Dimitrova and Fernandes, {Vitor H.} and J{\"o}rg Koppitz and Quinteiro, {Teresa M.}",
note = "Funding Information: info:eu-repo/grantAgreement/FCT/Concurso de avalia{\c c}{\~a}o no {\^a}mbito do Programa Plurianual de Financiamento de Unidades de I&D (2017%2F2018) - Financiamento Base/UIDB%2F00297%2F2020/PT# info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDP%2F00297%2F2020/PT# Publisher Copyright: {\textcopyright} 2024 Mathematical Institute Slovak Academy of Sciences.",
year = "2024",
month = oct,
day = "1",
doi = "10.1515/ms-2024-0078",
language = "English",
volume = "74",
pages = "1071--1088",
journal = "MATHEMATICA SLOVACA",
issn = "0139-9918",
publisher = "De Gruyter Open Ltd.",
number = "5",
}