Presentations for monoids of endomorphisms of a star graph

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.

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Publication Details

Journal
Asian-European Journal of Mathematics
Published
2025-04-22
DOI
https://doi.org/10.1142/s1793557125500494
Primary Topic
semigroups and automata theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Presentations for monoids of endomorphisms of a star graph

Tiwadee Musunthia, Vítor H. Fernandes, Jörg Koppitz
Asian-European Journal of Mathematics
semigroups and automata theory
article

Presentations for monoids of endomorphisms of a star graph

Tiwadee Musunthia, Vítor H. Fernandes, Jörg Koppitz
article en

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.

Asian-European Journal of MathematicsVol. 18(07)
Bulgarian Academy of Sciences (BG), Institute of Mathematics and Informatics (BG), Universidade Nova de Lisboa (PT), Silpakorn University (TH)
Openalex Percentile: Top 91%
semigroups and automata theory
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