On Geelen's Characterization of the near-regular matroids

R. Hall, D. Mayhew, S.H.M. Zwam, van

Research output: Book/ReportReportAcademic

Abstract

In unpublished work, Geelen proved that a matroid is nearregular if and only if it has no minor isomorphic to U2,5, U3,5, F7, F*7 ,F-7 , (F-7 )*, AG(2, 3)\e, (AG(2, 3)\e)*, ¿r (AG(2, 3)\e), or P8. We provide a proof of this characterization.
Original languageEnglish
Publishers.n.
Number of pages41
Publication statusPublished - 2009

Publication series

NamearXiv.org [math.CO]
Volume0902.2071

Fingerprint

Matroid
Minor
Isomorphic
If and only if

Cite this

Hall, R., Mayhew, D., & Zwam, van, S. H. M. (2009). On Geelen's Characterization of the near-regular matroids. (arXiv.org [math.CO]; Vol. 0902.2071). s.n.
Hall, R. ; Mayhew, D. ; Zwam, van, S.H.M. / On Geelen's Characterization of the near-regular matroids. s.n., 2009. 41 p. (arXiv.org [math.CO]).
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Hall, R, Mayhew, D & Zwam, van, SHM 2009, On Geelen's Characterization of the near-regular matroids. arXiv.org [math.CO], vol. 0902.2071, s.n.

On Geelen's Characterization of the near-regular matroids. / Hall, R.; Mayhew, D.; Zwam, van, S.H.M.

s.n., 2009. 41 p. (arXiv.org [math.CO]; Vol. 0902.2071).

Research output: Book/ReportReportAcademic

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AB - In unpublished work, Geelen proved that a matroid is nearregular if and only if it has no minor isomorphic to U2,5, U3,5, F7, F*7 ,F-7 , (F-7 )*, AG(2, 3)\e, (AG(2, 3)\e)*, ¿r (AG(2, 3)\e), or P8. We provide a proof of this characterization.

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Hall R, Mayhew D, Zwam, van SHM. On Geelen's Characterization of the near-regular matroids. s.n., 2009. 41 p. (arXiv.org [math.CO]).