Girth in GF(q)-representable matroids.
We prove a conjecture of Geelen, Gerards, and Whittle that for any finite field GF $(q)$ and any integer $t$, every cosimple GF ( $q$ )-representable matroid with sufficiently large girth contains either $M\left(K_t\right)$ or $M\left(K_t\right)^*$ as a minor.
| Autores: | , , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Oviedo (UNIOVI) |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/227206 |
| Acceso en línea: | https://hdl.handle.net/2445/227206 |
| Access Level: | acceso abierto |
| Palabra clave: | Combinatòria (Matemàtica) Teoria de grafs Combinations Graph theory |
| Sumario: | We prove a conjecture of Geelen, Gerards, and Whittle that for any finite field GF $(q)$ and any integer $t$, every cosimple GF ( $q$ )-representable matroid with sufficiently large girth contains either $M\left(K_t\right)$ or $M\left(K_t\right)^*$ as a minor. |
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