On volume functions of special flow polytopes
Combinatorics
2019-04-11 v1
Abstract
In this paper, we consider the volume of a special kind of flow polytope. We show that its volume satisfies a certain system of differential equations, and conversely, the solution of the system of differential equations is unique up to a constant multiple. In addition, we give an inductive formula for the volume with respect to the rank of the root system of type A.
Cite
@article{arxiv.1904.05000,
title = {On volume functions of special flow polytopes},
author = {Takayuki Negishi and Yuki Sugiyama and Tatsuru Takakura},
journal= {arXiv preprint arXiv:1904.05000},
year = {2019}
}
Comments
14 pages, 2 figures