On the monoid of partial isometries of a finite star graph

2022/03/10 by Vítor H. Fernandes, Fernandes, Vítor Hugo, Tânia Paulista +1
Mathematics · #05C12 #05C25 #20M05 #20M20 #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2203.05504

openalex publication_date 2022/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we consider the monoid DPS_n of all partial isometries of a star graph S_n with n vertices. Our main objectives are to determine the rank and to exhibit a presentation of DPS_n. We also describe Green's relations of DPS_n and calculate its cardinal.

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