@article {16594,
	title = {On monoids of endomorphisms of a cycle graph},
	journal = {Mathematica Slovaca (DOI 10.1515/ms-2024-0078; Online 15 October 2024)},
	volume = {74},
	year = {2024},
	pages = {1071-1088},
	abstract = {<p>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 $wEnd(C_n)$ and $End(C_n)$ of all weak endomorphisms and all endomorphisms of an undirected cycle graph $C_n$ with $n$ vertices. We also describe Green{\textquoteright}s relations and regularity of these monoids and calculate their cardinalities.</p>
},
	url = {https://www.degruyter.com/document/doi/10.1515/ms-2024-0078/html},
	author = {Dimitrova, I. and Fernandes, V{\'\i}tor H. and Koppitz, J. and T.M. Quinteiro}
}
