A combinatorial interpretation of the Seidel generation of \(q\)-derangement numbers

DOI10.1007/BF02558483zbMath0926.05002OpenAlexW2091235869MaRDI QIDQ1293463

Guo-Niu Han, Robert J. Clarke, Zeng, Jiang

Publication date: 29 November 1999

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

Full work available at URL: https://doi.org/10.1007/bf02558483

zbMATH Keywords

permutationsMahonian statisticEuler-Seidel matrix\(q\)-derangement numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) (q)-calculus and related topics (05A30)

Related Items (14)

\(\lambda\)-Euler's difference table for colored permutations ⋮ A \(q\)-analog of dual sequences with applications ⋮ Euler's difference table and maximum permanents of (0, 1)-matrices ⋮ A multi-parameter generalization of the symmetric algorithm ⋮ Self-reciprocal polynomials connecting unsigned and signed relative derangements ⋮ Higher order log-concavity in Euler's difference table ⋮ Signed words and permutations. IV: Fixed and pixed points ⋮ Fix-Mahonian calculus. III: a quadruple distribution ⋮ Fix-Mahonian calculus. I: Two transformations ⋮ Fix-Mahonian calculus. II: Further statistics ⋮ Fix-Euler-Mahonian statistics on wreath products ⋮ Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures ⋮ A \(q\)-table of Euler ⋮ Yet another triangle for the Genocchi numbers

Cites Work

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• The skew, relative, and classical derangements
• \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position
• Counting permutations with given cycle structure and descent set
• Descent classes of permutations with a given number of fixed points
• A fundamental transformation on the rearrangements of words
• Derangements and Genocchi numbers
• Eulerian calculus. II: An extension of Han's fundamental transformation
• On q-Derangement Numbers
• A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers
• Permutations by Number of Rises and Successions

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