Girth in GF(q)-representable matroids.

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dc.contributor.authorDavies, James
dc.contributor.authorHatzel, Melke
dc.contributor.authorKnauer, Kolja
dc.contributor.authorMcCarty, Rose
dc.contributor.authorUeckerdt, Torsten
dc.date.accessioned2026-02-23T11:13:01Z
dc.date.available2026-02-23T11:13:01Z
dc.date.issued2025-07-28
dc.date.updated2026-02-23T11:13:01Z
dc.description.abstractWe 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.extent7 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec765970
dc.identifier.issn0024-6093
dc.identifier.urihttps://hdl.handle.net/2445/227206
dc.language.isoeng
dc.publisherLondon Mathematical Society
dc.relation.isformatofReproducció del document publicat a: https://doi.org/10.1112/blms.70159
dc.relation.ispartofBulletin of the London Mathematical Society, 2025, vol. 57, num.11, p. 3401-3407
dc.relation.urihttps://doi.org/10.1112/blms.70159
dc.rightscc by-nc-nd (c) James Davies et al., 2025
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationCombinatòria (Matemàtica)
dc.subject.classificationTeoria de grafs
dc.subject.otherCombinations
dc.subject.otherGraph theory
dc.titleGirth in GF(q)-representable matroids.
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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