Generalized permutahedra and positive flag Dressians

Published 26 Nov 2021 in math.CO | (2111.13676v3)

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.

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