The toric ℎ-vectors of partially ordered sets

DOI10.1090/S0002-9947-00-02657-XzbMath0971.52012OpenAlexW1912474658MaRDI QIDQ4501115

Richard Ehrenborg, Margaret M. Bayer

Publication date: 3 September 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-00-02657-x

zbMATH Keywords

\(h\)-vectorgraded poset\(cd\)-indexEulerian posettoric \(h\)-vector

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorics of partially ordered sets (06A07)

Related Items

A second look at the toric \(h\)-polynomial of a cubical complex, Peak quasisymmetric functions and Eulerian enumeration, Balanced and Bruhat graphs, The short toric polynomial, Noncommutative enumeration in graded posets, Quasisymmetric functions and Kazhdan-Lusztig polynomials., Right-angled Coxeter groups, universal graphs, and Eulerian polynomials, Lifting inequalities for polytopes, Affine and toric hyperplane arrangements, An upper bound theorem for rational polytopes, The 𝑐𝑑-index: A survey, Filtrations on combinatorial intersection cohomology and invariants of subdivisions

Cites Work

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• The number of faces of a simplicial convex polytope
• A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
• A new index for polytopes
• Coproducts and the cd-index
• Flag \(f\)-vectors and the \(cd\)-index
• The c--2d-index of oriented matroids
• Twisted incidence algebras and Kazhdan-Lusztig-Stanley functions
• Coalgebras and Bialgebras in Combinatorics
• The maximum numbers of faces of a convex polytope