\(q\)-Narayana numbers and the flag \(h\)-vector of \(J(\text \textbf{2}\times {\mathbf n})\)

DOI10.1016/j.disc.2003.07.006zbMath1042.05001arXivmath/0211318OpenAlexW2022602967MaRDI QIDQ1827696

Petter Brändén

Publication date: 6 August 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211318

zbMATH Keywords

Schur functionNarayana numbersFlag \(h\)-vectorShelling

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial aspects of representation theory (05E10)

Related Items (max. 100)

Multivariate polynomials for generalized permutohedra ⋮ Closed-form expression for Hankel determinants of the Narayana polynomials ⋮ Refined Catalan and Narayana cyclic sieving ⋮ On a generalization of a congruence related to \(q\)-Narayana numbers ⋮ Schur positivity and the \(q\)-log-convexity of the Narayana polynomials ⋮ The weak order on pattern-avoiding permutations ⋮ Combinatorial interpretations of Lucas analogues of binomial coefficients and Catalan numbers ⋮ Weyl group \(q\)-Kreweras numbers and cyclic sieving ⋮ A skein action of the symmetric group on noncrossing partitions ⋮ Factors of alternating sums of powers of \(q\)-Narayana numbers ⋮ Whitney numbers for poset cones ⋮ Infinite log-concavity: developments and conjectures ⋮ Yang–Baxter integrable dimers on a strip ⋮ Lattice paths and the \(q\)-ballot polynomials

Cites Work

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• The Narayana distribution
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• A bijection on Dyck paths and its consequences
• Catalan path statistics having the Narayana distribution
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
• Shellable and Cohen-Macaulay Partially Ordered Sets

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