Commuting graphs and semigroup constructions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918186855694336 |
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| author | Paulista, Tânia |
| author_facet | Paulista, Tânia |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03003 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Commuting graphs and semigroup constructions Paulista, Tânia Combinatorics Group Theory Rings and Algebras 05C25 (Primary), 05C12, 05C15, 05C38, 05C40, 05C69, 20M99 (Secondary) 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. |
| title | Commuting graphs and semigroup constructions |
| topic | Combinatorics Group Theory Rings and Algebras 05C25 (Primary), 05C12, 05C15, 05C38, 05C40, 05C69, 20M99 (Secondary) |
| url | https://arxiv.org/abs/2511.03003 |