Internally $4$ -connected binary matroids with every element in three triangles

preprint2016arXivOpen access

Let $M$ be an internally $4$ -connected binary matroid with every element in three triangles. Then $M$ has at least four elements $e$ such that si $(M/e)$ is internally 4-connected.

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Internally $4$ -connected binary matroids with every element in three triangles

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Internally 444-connected binary matroids with every element in three triangles

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Internally $4$ -connected binary matroids with every element in three triangles