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

Year 2016, Volume: 3 Issue: 1, 7 - 11, 11.01.2016

Yoshio Sano

https://doi.org/10.13069/jacodesmath.26764

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.

Keywords

Matroid, H-Matroid, Simplicial complex, Rank function

2010 MSC: 05B35, 90C27

Abstract

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