The internally 4-connected binary matroids with no M(K3,3)-minor

Details The internally 4-connected binary matroids with no M(K3,3)-minor The internally 4-connected binary matroids with no M(K3,3)-minor

2009-02-05

arxiv.org/abs/0902.0837v1

Mathematics

Combinatorics

113 pages, 21 figures

Scientific paper

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.

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