Matroids from hypersimplex splits
Combinatorics
2018-07-02 v3
Abstract
A class of matroids is introduced which is very large as it strictly contains all paving matroids as special cases. As their key feature these split matroids can be studied via techniques from polyhedral geometry. It turns out that the structural properties of the split matroids can be exploited to obtain new results in tropical geometry, especially on the rays of the tropical Grassmannians.
Cite
@article{arxiv.1607.06291,
title = {Matroids from hypersimplex splits},
author = {Michael Joswig and Benjamin Schröter},
journal= {arXiv preprint arXiv:1607.06291},
year = {2018}
}
Comments
28 pages, 2 figures, 3 tables - major revision, a wrong corollary has been removed