Computing the Volume of Polytropes
Combinatorics
2025-05-19 v1
Abstract
We apply an algorithm for measuring the volume of polytopes described by Jim Lawrence to polytropes. By using a tropical form of Cramer's rule, we found an efficient way to find all pseudovertices which are necessary for computing the volume. Due to the limited possibilities for hyperplanes of polytropes, this led to a simplification of the algorithm, decreasing the time complexity significantly.
Keywords
Cite
@article{arxiv.2505.10587,
title = {Computing the Volume of Polytropes},
author = {Killian Hong-Minh and Paul Sheehan},
journal= {arXiv preprint arXiv:2505.10587},
year = {2025}
}