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

Mayhew, Dillon; Royle, Gordon; Whittle, Geoff

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

Authors

Mayhew, Dillon

Royle, Gordon

Whittle, Geoff

Description

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.
113 pages, 21 figures