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Two Remarks Concerning Balanced Matroids

Two Remarks Concerning Balanced Matroids

The property of balance (in the sense of Feder and Mihail) is investigated in the context of paving matroids. The following examples are exhibited: (a) a class of ā€œsparseā€ paving matroids that are balanced, but at the same time rich enough combinatorially to permit the encoding of hard counting problems; ā€¦