Refined Eulerian numbers and ballot permutations

DOI10.1016/j.aam.2021.102300OpenAlexW4206369211MaRDI QIDQ2070080

Yue Sun, Tongyuan Zhao, Feng Zhao

Publication date: 21 January 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.08508

zbMATH Keywords

Eulerian numbersballot permutations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Recurrences (11B37)

Related Items

A decomposition of ballot permutations, pattern avoidance and Gessel walks

Uses Software

• OEIS

Cites Work

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• A bijection between well-labelled positive paths and matchings
• Eulerian-Catalan numbers
• A Toeplitz property of ballot permutations and odd order permutations
• On arithmetic and asymptotic properties of up-down numbers
• \(f\)-vectors of barycentric subdivisions
• Ballot permutations and odd order permutations
• Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables
• Interlacing polynomials and the veronese construction for rational formal power series
• Eulerian Numbers

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