On the rank functions of H\mathcal{H}-matroids

preprint2016arXivOpen access

Abstract

The notion of H\mathcal{H}-matroids was introduced by U. Faigle and S. Fujishige in 2009 as a general model for matroids and the greedy algorithm. They gave a characterization of H\mathcal{H}-matroids by the greedy algorithm. In this note, we give a characterization of some H\mathcal{H}-matroids by rank functions.

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