On monoids of endomorphisms of a cycle graph
Rings and Algebras
2023-10-09 v1
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 and of all weak endomorphisms and all endomorphisms of an undirected cycle graph with vertices. We also describe Green's relations and regularity of these monoids and calculate their cardinalities.
Keywords
Cite
@article{arxiv.2310.04149,
title = {On monoids of endomorphisms of a cycle graph},
author = {Ilinka Dimitrova and Vítor H. Fernandes and Jörg Koppitz and Teresa M. Quinteiro},
journal= {arXiv preprint arXiv:2310.04149},
year = {2023}
}