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On Rota's Conjecture and nested separations in matroids

Published 25 Oct 2013 in math.CO | (1310.6990v2)

Abstract: We prove that for each finite field $\mathbb F$ and integer $k\in \mathbb Z$ there exists $n\in \mathbb Z$ such that no excluded minor for the class of $\mathbb F$-representable matroids has $n$ nested $k$-separations.

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