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Reinforcing a Matroid to Have k Disjoint Bases

Reinforcing a Matroid to Have k Disjoint Bases

Let denote the maximum number of disjoint bases in a matroid . For a connected graph , let , where is the cycle matroid of . The well-known spanning tree packing theorem of Nash-Williams and Tutte characterizes graphs with . Edmonds generalizes this theorem to matroids. In [1] and [2], …