Ranks of monoids of endomorphisms of a finite undirected path

Please use this identifier to cite or link to this item: http://hdl.handle.net/10400.21/11644

Title:	Ranks of monoids of endomorphisms of a finite undirected path
Author:	Dimitrova, Ilinka Fernandes, Vítor Hugo Koppitz, J. Quinteiro, Teresa
Keywords:	Graph endomorphisms Paths Generators Rank
Issue Date:	Mar-2020
Publisher:	Springer
Citation:	DIMITROVA, 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. 1623-1645
Abstract:	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.
Peer review:	yes
URI:	http://hdl.handle.net/10400.21/11644
DOI:	10.1007/s40840-019-00762-4
ISSN:	0126-6705 2180-4206
Appears in Collections:	ISEL - Matemática - Artigos

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