Tânia Paulista

collaborators

6 papers

math.GR2025

Commuting graphs of inverse semigroups and completely regular semigroups

TÃ¢nia Paulista

The general ideal of this paper is to answer the following question: given a numerical property of commuting graphs, a class of semigroups $C$ and $n \in N$ , is it…

math.CO2025

Diameters of commuting graphs of partial transformation semigroups

TÃ¢nia Paulista

Let $X$ be a finite set. We determine the diameter of the commuting graph of the partial transformation semigroup $P (X)$ on $X$ and show that it coincides with the diamet…

math.CO2025

Characterizing the largest commutative (full and partial) transformation semigroups of certain types

TÃ¢nia Paulista

Let $X$ be a finite set. Let $T (X)$ be the transformation semigroup on $X$ and let $P (X)$ be the partial transformation semigroup on $X$ . This paper is a contri…

math.CO2025

Commuting graphs and semigroup constructions

TÃ¢nia Paulista

The aim of this paper is to see how commuting graphs interact with two semigroup constructions: the zero-union and the direct product. For both semigroup constructions, we investig…

math.CO2025

Commuting graphs of completely 0-simple semigroups

TÃ¢nia Paulista

The aim of this paper is to study commuting graphs of completely $0$ -simple semigroups, using the characterization of these semigroups as $0$ -Rees matrix semigroups over a groups.…

math.GR2024

Commuting graphs of completely simple semigroups

TÃ¢nia Paulista

We describe the commuting graph of a Rees matrix semigroup over a group and investigate its properties: diameter, clique number, girth, chromatic number and knit degree. The maximu…