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Dergiler / Journal of Algebra Combinatorics Discrete Structures and Applications / 2016 / Cilt: 3 - Sayı: 1

2010 MSC: 05B35, 90C27

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

Yoshio SANO

Sayfa
7–11
DOI
—

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.