The short toric polynomial

DOI10.1090/S0002-9947-2012-05659-5zbMath1376.06006arXiv1008.4433OpenAlexW3102534833MaRDI QIDQ4913816

Gábor Hetyei

Publication date: 16 April 2013

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

Full work available at URL: https://arxiv.org/abs/1008.4433

zbMATH Keywords

reflection principleNarayana numbersEulerian posettoric \(h\)-vectorMorgan-Voyce polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Combinatorics of partially ordered sets (06A07) Algebraic aspects of posets (06A11)

Related Items (2)

The toric \(h\)-vector of a cubical complex in terms of noncrossing partition statistics ⋮ The 𝑐𝑑-index: A survey

Uses Software

• OEIS

Cites Work

• Hard Lefschetz theorem for nonrational polytopes
• A new index for polytopes
• Flag \(f\)-vectors and the \(cd\)-index
• Decompositions of partially ordered sets
• Quasisymmetric functions and Kazhdan-Lusztig polynomials.
• On the \(cd\)-variation polynomials of André and Simsun permutations
• Flag vectors of Eulerian partially ordered sets
• Generalizations of Eulerian partially ordered sets, flag numbers, and the Möbius function
• A second look at the toric \(h\)-polynomial of a cubical complex
• Plane Trees H-Vectors of Shellable Cubical Complexes
• The toric ℎ-vectors of partially ordered sets
• The cd-index of fans and posets
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