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Girth in $GF(q)$-representable matroids

Girth in $GF(q)$-representable matroids

来源:Arxiv_logoArxiv
英文摘要

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 $M(K_t)$ or $M(K_t)^*$ as a minor.

James Davies、Meike Hatzel、Kolja Knauer、Rose McCarty、Torsten Ueckerdt

数学

James Davies,Meike Hatzel,Kolja Knauer,Rose McCarty,Torsten Ueckerdt.Girth in $GF(q)$-representable matroids[EB/OL].(2025-04-30)[2025-05-28].https://arxiv.org/abs/2504.21797.点此复制

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