@article {12789,
	title = {Ranks of monoids of endomorphisms of a finite undirected path (DOI: 10.1007/s40840-019-00762-4)},
	journal = {Bulletin of the Malaysian Mathematical Sciences Society},
	volume = {43},
	year = {2020},
	pages = {1623{\textendash}1645},
	abstract = {<p>In this paper we study the widely considered endomorphisms and weak endomorphisms of a finite undirected path from monoid generators perspective. Our main aim is to determine the ranks of the monoids $wEnd P_n$ and $End P_n$ of all weak endomorphisms and all endomorphisms of the undirected path $P_n$ with $n$ vertices. We also consider strong and strong weak endomorphisms of $P_n$.  </p>
},
	url = {https://rdcu.be/bxTbr},
	author = {Dimitrova, I. and Fernandes, V{\'\i}tor H. and Koppitz, J. and T.M. Quinteiro}
}
