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Johnny Humphries : A basis exchange property for matroids (Nov 23, 2009 4:25 PM)

Rota conjectured that the set of elements from n disjoint bases of a rank-$n$ matroid $M$ can be repartitioned into $n$ disjoint transversal sets that are also bases of $M$. We present a stronger result for the class of paving matroids, and explain why the techniques used in the proof fail when trying to prove the conjecture directly.

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