Cyclic derangement polynomials of the wreath product \(\mathcal{C}_r\wr S_n\)

DOI10.1016/j.disc.2020.112109zbMath1448.05005OpenAlexW3081577893MaRDI QIDQ2005693

Mengmeng Dong, Lily Li Liu

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.disc.2020.112109

zbMATH Keywords

asymptotic normalityspiral propertycyclic derangement polynomials

Mathematics Subject Classification ID

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

Related Items (1)

Self-reciprocal polynomials connecting unsigned and signed relative derangements

Cites Work

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• Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\)
• Cyclic derangements
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• \(q\)-Eulerian polynomials arising from Coxeter groups
• Asymptotic normality of Laplacian coefficients of graphs
• Derangement polynomials and excedances of type \(B\)
• A unified approach to polynomial sequences with only real zeros
• Central and local limit theorems applied to asymptotic enumeration
• Unimodal, log-concave and Pólya frequency sequences in combinatorics
• Unimodal Polynomials Arising from Symmetric Functions
• The 𝐬-Eulerian polynomials have only real roots
• Stirling Behavior is Asymptotically Normal

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