Caylerian polynomials

DOI10.1016/J.DISC.2024.114177zbMATH Open1547.05022MaRDI QIDQ6611729

Giulio Cerbai, Anders Claesson

Publication date: 27 September 2024

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

zbMATH Keywords

Eulerian polynomialsCayley permutationsBurge matricesBurge words

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Permutations, words, matrices (05A05)

Cites Work

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• Proof of Gessel's \(\gamma\)-positivity conjecture
• Cayley permutations
• Stirling polynomials
• Hilbert polynomials in combinatorics
• Second memoir on the compositions of numbers.
• Essay on Bernoulli and Euler numbers
• Four correspondences between graphs and generalized Young tableaux
• Transport of patterns by Burge transpose
• Cyclic sieving, skew Macdonald polynomials and Schur positivity
• Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
• Théorie géométrique des polynômes eulériens
• Arrangements on chessboards
• Congruences for Eulerian numbers
• Two-Sided Eulerian Numbers via Balls in Boxes
• Analysis of Statistics for Generalized Stirling Permutations
• A Combinatorial Property of q-Eulerian Numbers
• Permutations and sequences with repetitions by number of increases
• The on-line encyclopedia of integer sequences
• Pattern restricted quasi-Stirling permutations
• Eulerian Numbers

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