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Approximately counting bases of bicircular matroids

Published 28 Aug 2018 in cs.DS and math.CO | (1808.09548v4)

Abstract: We give a fully polynomial-time randomised approximation scheme (FPRAS) for the number of bases in a bicircular matroids. This is a natural class of matroids for which counting bases exactly is #P-hard and yet approximate counting can be done efficiently.

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