Girth in GF(q)-representable matroids.

dc.contributor.author
Davies, James
dc.contributor.author
Hatzel, Melke
dc.contributor.author
Knauer, Kolja
dc.contributor.author
McCarty, Rose
dc.contributor.author
Ueckerdt, Torsten
dc.date.accessioned
2026-02-24T00:32:41Z
dc.date.available
2026-02-24T00:32:41Z
dc.date.issued
2026-02-23T11:13:01Z
dc.date.issued
2026-02-23T11:13:01Z
dc.date.issued
2025-07-28
dc.date.issued
2026-02-23T11:13:01Z
dc.identifier
0024-6093
dc.identifier
https://hdl.handle.net/2445/227206
dc.identifier
765970
dc.identifier.uri
https://hdl.handle.net/2445/227206
dc.description.abstract
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.
dc.format
7 p.
dc.format
application/pdf
dc.language
eng
dc.publisher
London Mathematical Society
dc.relation
Reproducció del document publicat a: https://doi.org/10.1112/blms.70159
dc.relation
Bulletin of the London Mathematical Society, 2025, vol. 57, num.11, p. 3401-3407
dc.relation
https://doi.org/10.1112/blms.70159
dc.rights
cc by-nc-nd (c) James Davies et al., 2025
dc.rights
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights
info:eu-repo/semantics/openAccess
dc.subject
Combinatòria (Matemàtica)
dc.subject
Teoria de grafs
dc.subject
Combinations
dc.subject
Graph theory
dc.title
Girth in GF(q)-representable matroids.
dc.type
info:eu-repo/semantics/article
dc.type
info:eu-repo/semantics/publishedVersion


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