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arxiv: 1202.3843 · v1 · pith:WXRF2UA7new · submitted 2012-02-17 · 🧮 math.CO

The internally 4-connected binary matroids with no M(K5e)-minor

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keywords binaryminorcoloopconnectedeveryinternallyisomorphicmatroid
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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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