Ranks of monoids of endomorphisms of a finite undirected path

Dimitrova, IlinkaFernandes, Vítor HugoKoppitz, J.Quinteiro, Teresa2020-05-132020-05-132020-03DIMITROVA, I.; [et al] – Ranks of monoids of endomorphisms of a finite undirected path. Bulletin of the Malaysian Mathematical Sciences Society. ISSN 2180-4206. Vol. 43, N.º 2 (2020), pp. 1623-16450126-67052180-4206http://hdl.handle.net/10400.21/11644In 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 wEndPn and EndPn of all weak endomorphisms and all endomorphisms of the undirected path Pn with n vertices. We also consider strong and strong weak endomorphisms of Pn.engGraph endomorphismsPathsGeneratorsRankRanks of monoids of endomorphisms of a finite undirected pathjournal article10.1007/s40840-019-00762-4