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

Yoshio Sano

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

Authors

Yoshio Sano

Keywords:

Matroid, H-Matroid, Simplicial complex, Rank function

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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Published

2016-01-15

How to Cite

Sano, Y. (2016). On the rank functions of $\mathcal{H}$-matroids. Journal of Algebra Combinatorics Discrete Structures and Applications, 3(1), 7–11. Retrieved from https://www.jacodesmath.com/index.php/jacodesmath/article/view/25