The Internally 4-Connected Binary Matroids with No M(k3,3)-Minor

Dillon Mayhew, Gordon Royle, Geoff Whittle · 2010

Abstract. Let AG(3, 2) 1 U1,1 denote the binary matroid obtained from AG(3, 2)⊕U1,1 by completing the 3-point lines between every ele-ment in AG(3, 2) and the element of U1,1. We prove that every internally 4-connected binary matroid that does not have a minor isomorphic to M(K5\\e) is isomorphic to a minor of (AG(3, 2) 1 U1,1)∗. 1.

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