Mixed volumes of matroids
Combinatorics
2024-04-19 v1
Abstract
Our aim in this article is to compute the mixed volume of a matroid. We give two computations. The first one is based on the integration formula for complete fans given by Brion. The second computation is a step-by-step method using deletion of elements in the matroid as in Braden-Huh-Matherne-Proudfoot-Wang.
Cite
@article{arxiv.2404.11837,
title = {Mixed volumes of matroids},
author = {Andy Hsiao and Kalle Karu and Jonathan Yang},
journal= {arXiv preprint arXiv:2404.11837},
year = {2024}
}
Comments
29 pages, 1 figure