Rook theory and cycle-counting permutation statistics

DOI10.1016/j.aam.2004.03.004zbMath1056.05001OpenAlexW2008705407MaRDI QIDQ705229

Fred Butler

Publication date: 26 January 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2004.03.004

zbMATH Keywords

Mahonian statistic\(q\)-analogCycle-countingEuler-Mahonian statisticMajor indexPermutation statisticsRook theory

Mathematics Subject Classification ID

Permutations, words, matrices (05A05)

Related Items (6)

Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas ⋮ The drop polynomial of a weighted digraph ⋮ Regularity and multiplicity of toric rings of three-dimensional Ferrers diagrams ⋮ A representation on the labeled rooted forests ⋮ A combinatorial interpretation of the \(p,q\)-hit numbers ⋮ Monomial and toric ideals associated to Ferrers graphs

Cites Work

• Unnamed Item
• Rook theory and hypergeometric series
• Q-counting rook configurations and a formula of Frobenius
• \(q\)-rook polynomials and matrices over finite fields
• An interpretation for Garsia and Remmel's \(q\)-hit numbers
• Factorization of the cover polynomial
• On the cover polynomial of a digraph
• The problem of the rooks and its applications
• Rook theory for perfect matchings

This page was built for publication: Rook theory and cycle-counting permutation statistics