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On the rank functions of $\mathcal{H}$-matroids
Published 11 Nov 2011 in math.CO and cs.DM | (1111.2642v4)
Abstract: The notion of $\mathcal{H}$-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 $\mathcal{H}$-matroids by the greedy algorithm. In this note, we give a characterization of some $\mathcal{H}$-matroids by rank functions.
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