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The cycle enumerator of unimodal permutations

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Publication:1600828
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DOI10.1007/s00026-001-8024-6zbMath0988.05092arXivmath/0102051OpenAlexW2034792060MaRDI QIDQ1600828

Jean-Yves Thibon

Publication date: 16 June 2002

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

Full work available at URL: https://arxiv.org/abs/math/0102051

zbMATH Keywords

cycle indexunimodal permutations


Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05)


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Unweighted linear congruences with distinct coordinates and the Varshamov-Tenengolts codes, The parity of the number of permutation tableaux in a fixed shape, Analysis of casino shelf shuffling machines, Unimodal permutations and almost-increasing cycles, Enumerating two permutation classes by the number of cycles, Higher Lie characters and cyclic descent extension on conjugacy classes, Plethystic formulas for permutation enumeration, Arc permutations, An upper bound on the number of \((132, 213)\)-avoiding cyclic permutations, The formal series Witt transform, Applications of the Brauer complex: card shuffling, permutation statistics, and dynamical systems, Applications of symmetric functions to cycle and increasing subsequence structure after shuffles



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