On permutation weights and \(q\)-Eulerian polynomials

DOI10.1007/s00026-020-00493-5zbMath1442.05001arXiv1809.07398OpenAlexW3033740928MaRDI QIDQ2189565

Aman Agrawal, Caroline Choi, Nathan Sun

Publication date: 16 June 2020

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07398

zbMATH Keywords

permutationsEulerian polynomials\(q\)-Eulerian polynomials

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05) Enumeration in graph theory (05C30)

Related Items (1)

A complete enumeration of Ballot permutations avoiding sets of small patterns

Uses Software

• OEIS

Cites Work

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• Recurrences for Eulerian polynomials of type B and type D
• Torus orbits on homogeneous varieties and Kac polynomials of quivers
• Binomial posets, Möbius inversion, and permutation enumeration
• Intransitive trees
• Deformations of Coxeter hyperplane arrangements
• Tiered trees, weights, and \(q\)-Eulerian numbers
• 𝑞-Eulerian polynomials: Excedance number and major index
• Major Index and Inversion Number of Permutations
• Hyperplane arrangements, interval orders, and trees.
• q-Bernoulli and Eulerian Numbers

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