Irreducibility of the Tutte polynomial of an embedded graph
| Autor: | Ellis-Monaghan, Joanna A., Goodall, Andrew J., Moffatt, Iain, Noble, Steven, Vena, Lluís |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Algebraic Combinatorics, Volume 5 (2022) no. 6, pp. 1337-1351 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.5802/alco.252 |
| Popis: | We prove that the ribbon graph polynomial of a graph embedded in an orientable surface is irreducible if and only if the embedded graph is neither the disjoint union nor the join of embedded graphs. This result is analogous to the fact that the Tutte polynomial of a graph is irreducible if and only if the graph is connected and non-separable. Comment: 15 pages - this is the authors accepted manuscript / version of record without journal provided formatting |
| Databáze: | arXiv |
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