Repository logo
 

Inequivalent representations of certain classes of matroids

Loading...
Thumbnail Image

Date

2002

Journal Title

Journal ISSN

Volume Title

Publisher

Te Herenga Waka—Victoria University of Wellington

Abstract

Geelen, Oxley, Vertigan and Whittle conjectured that, for any integer r exceeding two, and any prime power q, there exists an integer n(q, r), such that any 3-connected GF(q)-representable matroid that has no minor isomorphic to the rank-r free-swirl or the rank-r free-spike has at most n(q, r) inequivalent GF(q)-representations. We prove this conjecture for the class of matroids that have no U3,6-minor, the class of Dowling matroids, and the class produced by applying the truncation operator to the family of bicircular matroids.

Description

Keywords

Matroids, Mathematics

Citation

Collections