Ranks of Monoids of Endomorphisms of a Finite Undirected Path

I. Dimitrova, V. H. Fernandes, J. Koppitz, T. M. Quinteiro

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
33 Downloads (Pure)


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 Pn and End Pn 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.

Original languageEnglish
Pages (from-to)1623-1645
Number of pages23
JournalBulletin Of The Malaysian Mathematical Sciences Society
Issue number2
Publication statusPublished - 1 Mar 2020


  • Generators
  • Graph endomorphisms
  • Paths
  • Rank


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