Generalized permutahedra and positive flag Dressians

Generalized permutahedra and positive flag Dressians

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 aris...

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Veröffentlicht in:arXiv.org 2022-06
Hauptverfasser: Joswig, Michael, Loho, Georg, Luber, Dante, Olarte, Jorge Alberto
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Combinatorics
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2111.13676