Generalized Permutahedra and Positive Flag Dressians

Michael Joswig, Georg Loho*, Dante Luber, Jorge Alberto Olarte

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
17 Downloads (Pure)


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.

Original languageEnglish
Pages (from-to)16748-16777
Number of pages30
JournalInternational Mathematics Research Notices
Issue number19
Publication statusPublished - 10 Feb 2023


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