Number of vertices in Gelfand-Zetlin polytopes
Combinatorics
2014-06-06 v1
Abstract
We discuss the problem of counting vertices in Gelfand-Zetlin polytopes. Namely, we deduce a partial differential equation with constant coefficients on the exponential generating function for these numbers. For some particular classes of Gelfand-Zetlin polytopes, the number of vertices can be given by explicit formulas.
Keywords
Cite
@article{arxiv.1205.6336,
title = {Number of vertices in Gelfand-Zetlin polytopes},
author = {Pavel Gusev and Valentina Kiritchenko and Vladlen Timorin},
journal= {arXiv preprint arXiv:1205.6336},
year = {2014}
}
Comments
11 pages, 3 figures