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Further results on pinnacle sets

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Publication:2685330
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DOI10.1016/j.disc.2022.113296OpenAlexW3212050213MaRDI QIDQ2685330

Quinn Minnich

Publication date: 21 February 2023

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

Full work available at URL: https://arxiv.org/abs/2111.08075


zbMATH Keywords

permutationcyclic permutationspinnacle setadmissible orderingsMotzkin walks


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05) Symmetric groups (20B30)


Related Items (2)

Pinnacle sets of signed permutations ⋮ Pinnacle sets revisited



Cites Work

  • Sorting permutations with fixed pinnacle set
  • Enumeration of alternating permutations according to peak sets
  • The pinnacle set of a permutation
  • A formula for enumerating permutations with a fixed pinnacle set
  • Admissible pinnacle orderings
  • Pinnacle set properties
  • Efficient recurrence for the enumeration of permutations with fixed pinnacle set


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