Girth in $GF(q)$-representable matroids
Combinatorics
2025-05-01 v1
Abstract
We prove a conjecture of Geelen, Gerards, and Whittle that for any finite field and any integer , every cosimple -representable matroid with sufficiently large girth contains either or as a minor.
Cite
@article{arxiv.2504.21797,
title = {Girth in $GF(q)$-representable matroids},
author = {James Davies and Meike Hatzel and Kolja Knauer and Rose McCarty and Torsten Ueckerdt},
journal= {arXiv preprint arXiv:2504.21797},
year = {2025}
}
Comments
7 pages, 1 figure