Generalized permutahedra and positive flag Dressians
Combinatorics
2023-02-22 v3
Abstract
We study valuated matroids, their tropical incidence relations, flag matroids and total positivity. This leads to a characterization of permutahedral subdivisions, namely subdivisions of regular permutahedra into generalized permutahedra. Further, we get a characterization of those subdivisions arising from positive valuated flag matroids.
Keywords
Cite
@article{arxiv.2111.13676,
title = {Generalized permutahedra and positive flag Dressians},
author = {Michael Joswig and Georg Loho and Dante Luber and Jorge Alberto Olarte},
journal= {arXiv preprint arXiv:2111.13676},
year = {2023}
}
Comments
long version of extended abstract (FPSAC 2022, DMD 2022)