Subdivisions of root polytopes and generalized tropical oriented matroids (Extended abstract)
Combinatorics
2026-03-10 v1
Abstract
We study a generalization of tropical oriented matroids by Ardila and Develin, and show that they are in bijection with subdivisions of root polytopes, which are sub-polytopes of a product of two simplices.
Cite
@article{arxiv.2603.08539,
title = {Subdivisions of root polytopes and generalized tropical oriented matroids (Extended abstract)},
author = {Yuan Yao and Chenyi Zhang},
journal= {arXiv preprint arXiv:2603.08539},
year = {2026}
}
Comments
12 pages,4 figures