Tropical hyperplane arrangements and oriented matroids
Combinatorics
2007-06-25 v2
Abstract
We study the combinatorial properties of a tropical hyperplane arrangement. We define tropical oriented matroids, and prove that they share many of the properties of ordinary oriented matroids. We show that a tropical oriented matroid determines a subdivision of a product of two simplices, and conjecture that this correspondence is a bijection.
Cite
@article{arxiv.0706.2920,
title = {Tropical hyperplane arrangements and oriented matroids},
author = {Federico Ardila and Mike Develin},
journal= {arXiv preprint arXiv:0706.2920},
year = {2007}
}