English

Presentations for monoids of endomorphisms of a star graph

Rings and Algebras 2025-01-03 v1 Combinatorics

Abstract

In this paper, we consider the monoids of all endomorphisms, of all weak endomorphisms, of all strong endomorphisms and of all strong weak endomorphisms of a star graph with a finite number of vertices. Our main objective is to exhibit a presentation for each of them.

Keywords

Cite

@article{arxiv.2501.00222,
  title  = {Presentations for monoids of endomorphisms of a star graph},
  author = {Vitor H. Fernandes and Jörg Koppitz and Tiwadee Musunthia},
  journal= {arXiv preprint arXiv:2501.00222},
  year   = {2025}
}

Comments

math.RA. arXiv admin note: text overlap with arXiv:2410.21084