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

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

2011-11-11

arxiv.org/abs/1111.2642v2

Mathematics

Combinatorics

9 pages

Scientific paper

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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