The \(h\)-vector of a positroid is a pure O-sequence

DOI10.1016/j.ejc.2023.103684OpenAlexW4318485026MaRDI QIDQ2700993

Amy He, Pierce Lai, SuHo Oh

Publication date: 27 April 2023

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05243

zbMATH Keywords

Stanley's conjectureuniform matroidsSchubert matroidslattice-path matroids

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

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• Biconed graphs, weighted forests, and \(h\)-vectors of matroid complexes
• Grassmannian Geometry of Scattering Amplitudes
• Generic and special constructions of pure O -sequences
• Positroids and non-crossing partitions

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