Author(s): Dimitrova, Ilinka ; Fernandes, Vítor Hugo ; Koppitz, J. ; Quinteiro, Teresa
Date: 2020
Persistent ID: http://hdl.handle.net/10400.21/11644
Origin: Repositório Científico do Instituto Politécnico de Lisboa
Subject(s): Graph endomorphisms; Paths; Generators; Rank; Graph endomorphisms; Graph endomorphisms; Paths; Paths; Generators; Generators; Rank; Rank
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 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.
