3 papers
math.RA2022
On the monoid of partial isometries of a cycle graph
Vítor H. Fernandes, Tânia Paulista
In this paper we consider the monoid $\DPC_n$ of all partial isometries of a -cycle graph . We show that $\DPC_n$ is the submonoid of the monoid of all oriented partial per…
math.RA2022
On the monoid of partial isometries of a finite star graph
Vítor Hugo Fernandes, Tânia Paulista
In this paper we consider the monoid of all partial isometries of a star graph with vertices. Our main objectives are to determine the rank and to exhibit a prese…
math.RA2021
On the Rank of Monoids of Endomorphisms of a Finite Directed Path
Vítor Hugo Fernandes, Tânia Paulista
In this paper we consider endomorphisms of a finite directed path from monoid generators perspective. Our main aim is to determine the rank of the monoid $\wEnd\vec{P}_n$ of all we…