Mixed volumes of matroids
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2024
- DOI:
- 10.48550/arXiv.2404.11837
- arXiv:
- arXiv:2404.11837
- Bibcode:
- 2024arXiv240411837H
- Keywords:
-
- Mathematics - Combinatorics;
- 52B40 (Primary). 52A39;
- 14M25 (Secondary)
- E-Print:
- 29 pages, 1 figure