The internally 4-connected binary matroids with no M(K5\e)-minor

Details The internally 4-connected binary matroids with no M(K5\e)-minor The internally 4-connected binary matroids with no M(K5\e)-minor

2012-02-17

arxiv.org/abs/1202.3843v1

Mathematics

Combinatorics

16 pages, 4 figures

Scientific paper

Let AG(3,2)xU(1,1) denote the binary matroid obtained from the direct sum of
AG(3,2) and a coloop by completing the 3-point lines between every element in
AG(3,2) and the coloop. 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)xU(1,1))*.

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