Pinnacle sets revisited

DOI10.1016/j.disc.2023.113834arXiv2106.05248MaRDI QIDQ6197699

Justine Falque, Jean-Christophe Novelli, Jean-Yves Thibon

Publication date: 19 February 2024

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

Full work available at URL: https://arxiv.org/abs/2106.05248

zbMATH Keywords

permutationsPinnacle set

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Cites Work

• Unnamed Item
• The pinnacle set of a permutation
• A formula for enumerating permutations with a fixed pinnacle set
• Pinnacle set properties
• Rearrangements of the symmetric group and enumerative properties of the tangent and secant numbers
• Permutation statistics related to a class of noncommutative symmetric functions and generalizations of the Genocchi numbers
• Further results on pinnacle sets
• Efficient recurrence for the enumeration of permutations with fixed pinnacle set

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