The Internally 4-Connected Binary Matroids With No 𝑀(𝐾_{3,3})-Minor.
Dillon Mayhew, Gordon Royle, Geoff Whittle · Memoirs of the American Mathematical Society · 2010
We give a characterization of the internally 4 4 -connected binary matroids that have no minor isomorphic to M ( K 3 , 3 ) M(K_{3,3}) . Any such matroid is either cographic, or is isomorphic to a particular single-element extension of the bond matroid of a cubic or quartic Möbius ladder, or is isomorphic to one of eighteen sporadic matroids.