Linkage Axioms for Generic Tropical Oriented Matroids
Combinatorics
2026-01-09 v2
Abstract
We present a comprehensive overview of Ardila and Develin's (generic) tropical oriented matroids, as well as many related objects and their axiomatics. Moreover, we use a unifying framework that elucidates the connections between these objects, including several new cryptomorphisms and properties.
Keywords
Cite
@article{arxiv.2506.11265,
title = {Linkage Axioms for Generic Tropical Oriented Matroids},
author = {Yuan Yao},
journal= {arXiv preprint arXiv:2506.11265},
year = {2026}
}
Comments
33 pages, 11 figures