A context-free grammar for the \(e\)-positivity of the trivariate second-order Eulerian polynomials
From MaRDI portal
Publication:2237235
DOI10.1016/j.disc.2021.112661zbMath1476.05006arXiv2106.08831OpenAlexW3205205544MaRDI QIDQ2237235
Publication date: 27 October 2021
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.08831
context-free grammars\(e\)-positivityStirling permutations\( \gamma \)-positivityincreasing plane treessecond-order Eulerian polynomials
Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Grammars and rewriting systems (68Q42)
Related Items (6)
The Dumont ansatz for the Eulerian polynomials, peak polynomials and derivative polynomials ⋮ Stirling permutation codes ⋮ Positivity of Narayana polynomials and Eulerian polynomials ⋮ Enumeration of permutations by the parity of descent positions ⋮ Excedance-type polynomials, gamma-positivity and alternatingly increasing property ⋮ The Gessel correspondence and the partial \(\gamma \)-positivity of the Eulerian polynomials on multiset Stirling permutations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \(\gamma\)-positive polynomials arising in pattern avoidance
- Context-free grammars for permutations and increasing trees
- Stable multivariate Eulerian polynomials and generalized Stirling permutations
- The \(\gamma\)-positivity of basic Eulerian polynomials via group actions
- Generalized Stirling permutations, families of increasing trees and urn models
- The symmetric and unimodal expansion of Eulerian polynomials via continued fractions
- Context-free grammars, differential operators and formal power series
- On certain combinatorial expansions of the Eulerian polynomials
- Une généralisation trivariee symétrique des nombres euleriens
- Eulerian numbers, tableaux, and the Betti numbers of a toric variety
- Stirling polynomials
- On the Neggers-Stanley conjecture and the Eulerian polynomials
- William Chen grammars and derivations in trees and arborescences
- The ascent-plateau statistics on Stirling permutations
- Gamma-positivity in combinatorics and geometry
- Descents on quasi-Stirling permutations
- Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
- \(\gamma\)-positivity and partial \(\gamma\)-positivity of descent-type polynomials
- A new encoding of permutations by Laguerre histories
- Eulerian polynomials, Stirling permutations of the second kind and perfect matchings
- Actions on permutations and unimodality of descent polynomials
- Théorie géométrique des polynômes eulériens
- Plane recursive trees, Stirling permutations and an urn model
- Runs, Slides and Moments
- Context-Free Grammars and Stable Multivariate Polynomials over Stirling Permutations
- Real Zeros and Normal Distribution for Statistics on Stirling Permutations Defined by Gessel and Stanley
- Eulerian Numbers
This page was built for publication: A context-free grammar for the \(e\)-positivity of the trivariate second-order Eulerian polynomials
