Dimitrova, IlinkaFernandes, V. H.Koppitz, J.Quinteiro, Teresa2021-06-022021-06-022021-08DIMITROVA, I.; [et al] – Partial automorphisms and injective partial endomorphisms of a finite undirected path. Semigroup Forum. ISSN 0037-1912. Vol. 103, N.º 1 (2021), pp. 87-1050037-1912http://hdl.handle.net/10400.21/13412In this paper, we study partial automorphisms and, more generally, injective partial endomorphisms of a finite undirected path from Semigroup Theory perspective. Our main objective is to give formulas for the ranks of themonoids IEnd(P-n) and PAut(P-n) of all injective partial endomorphisms and of all partial automorphisms of the undirected path Pn with n vertices. We also describe Green's relations of PAut(P-n) and IEnd(P-n) and calculate their cardinals.engInjective partial endomorphismsPartial automorphismsPathsGeneratorsRankjournal article10.1007/s00233-021-10193-y1432-2137