Minimax trees and André polynomials
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Publication:5956772
DOI10.1006/aama.2001.0740zbMath0992.05013OpenAlexW2077266112MaRDI QIDQ5956772
Publication date: 11 September 2002
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/aama.2001.0740
generating functionscomplementsstatisticsAndré treesHetyei-Reiner treesincreasing treesminimax treesreverses
Related Items (13)
The peak statistics on simsun permutations ⋮ Context-free grammars for permutations and increasing trees ⋮ A context-free grammar for peaks and double descents of permutations ⋮ Enumeration of permutations by number of alternating runs ⋮ The Dumont ansatz for the Eulerian polynomials, peak polynomials and derivative polynomials ⋮ Counting permutations by simsun successions ⋮ Eulerian polynomials and the 𝑔-indices of Young tableaux ⋮ Symplectic reflection algebras in positive characteristic as Ore extensions ⋮ Counting simsun permutations by descents ⋮ The \(\gamma\)-positivity of bivariate Eulerian polynomials via the Hetyei-Reiner action ⋮ Actions on permutations and unimodality of descent polynomials ⋮ Brändén's \((p,q)\)-Eulerian polynomials, André permutations and continued fractions ⋮ Stieltjes moment properties and continued fractions from combinatorial triangles
Cites Work
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- Permutation trees and variation statistics
- The homology representations of the symmetric group on Cohen-Macaulay subposets of the partition lattice
- Flag \(f\)-vectors and the \(cd\)-index
- On the \(cd\)-variation polynomials of André and Simsun permutations
- Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
- Further Divisibility Properties of the q-Tangent Numbers
- Divisibility Properties of the q-Tangent Numbers
- Andre Permutations, Lexicographic Shellability and the cd-Index of a Convex Polytope
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