The internally 4-connected binary matroids with no M(K3,3)-minor
Combinatorics
2009-02-06 v1
Abstract
We give a characterization of the internally 4-connected binary matroids that have no minor isomorphic to M(K3,3). Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Mobius ladder, or is isomorphic to one of eighteen sporadic matroids.
Keywords
Cite
@article{arxiv.0902.0837,
title = {The internally 4-connected binary matroids with no M(K3,3)-minor},
author = {Dillon Mayhew and Gordon Royle and Geoff Whittle},
journal= {arXiv preprint arXiv:0902.0837},
year = {2009}
}
Comments
113 pages, 21 figures