Generalized Permutahedra and Positive Flag Dressians
Michael Joswig, Georg Loho, Dante Luber, Jorge Alberto Olarte · International Mathematics Research Notices · 2023
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.