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math.CO2012★ 3 cited
An entropy argument for counting matroids
N. Bansal, R. A. Pendavingh, J. G. van der Pol
We show how a direct application of Shearers' Lemma gives an almost optimum bound on the number of matroids on elements.
math.CO2012
On the number of matroids
N. Bansal, R. A. Pendavingh, J. G. van der Pol
We consider the problem of determining , the number of matroids on elements. The best known lower bound on is due to Knuth (1974) who showed that is…