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Enumeration of involutions by descents and symmetric matrices

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Publication:458601
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DOI10.1016/j.ejc.2014.08.026zbMath1301.05019OpenAlexW2041903417MaRDI QIDQ458601

Shi-Mei Ma, Richard A. Brualdi

Publication date: 8 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2014.08.026


zbMATH Keywords

descent setsdescent numbersFrobenius-type formulas


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial inequalities (05A20)


Related Items (1)

Some Combinatorially Defined Matrix Classes


Uses Software

  • OEIS


Cites Work

  • Unnamed Item
  • Permutation statistics on involutions
  • On the Eulerian enumeration of involutions
  • Counting permutations with given cycle structure and descent set
  • Restricted symmetric permutations
  • The Eulerian distribution on involutions is indeed unimodal
  • The descent statistic on involutions is not log-concave
  • Permutations, matrices, and generalized Young tableaux
  • Fonctions symétriques et séries hypergéométriques basiques multivariées


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