Commuting graphs and semigroup constructions
Combinatorics
2025-11-06 v1 Group Theory
Rings and Algebras
Abstract
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 investigate the diameter, clique number, girth, chromatic number and knit degree of their commuting graphs and, when possible, we exhibit the relationship between each one of these properties and the corresponding properties of the commuting graphs of the original semigroups.
Keywords
Cite
@article{arxiv.2511.03003,
title = {Commuting graphs and semigroup constructions},
author = {Tânia Paulista},
journal= {arXiv preprint arXiv:2511.03003},
year = {2025}
}
Comments
26 pages