Ehrhart \(h^{\ast }\)-vectors of hypersimplices

DOI10.1007/s00454-012-9452-2zbMath1263.52007arXiv1104.5292OpenAlexW2594302840MaRDI QIDQ1930548

Nan Li

Publication date: 11 January 2013

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.5292

zbMATH Keywords

hypersimplex\(h^{\ast }\)-vectorshellable triangulation

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Related Items (8)

Flag statistics from the Ehrhart \(h^\ast\)-polynomial of multi-hypersimplices ⋮ Schubert matroids, Delannoy paths, and Speyer's invariant ⋮ Hypersimplices are Ehrhart positive ⋮ \(r\)-stable hypersimplices ⋮ Lipschitz polytopes of posets and permutation statistics ⋮ Integer point enumeration on independence polytopes and half-open hypersimplices ⋮ A combinatorial formula for the Ehrhart \(h^\ast \)-vector of the hypersimplex ⋮ A combinatorial formula for the Ehrhart \(h^\ast\)-vector of the hypersimplex

Cites Work

• Fix-Mahonian calculus. III: a quadruple distribution
• Gorenstein algebras of Veronese type
• Combinatorics and commutative algebra.
• Alcoved polytopes. I.
• Decompositions of Rational Convex Polytopes
• THE HILBERT SERIES OF ALGEBRAS OF THE VERONESE TYPE
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