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Bijections on \(m\)-level rook placements

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Publication:298329
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DOI10.1016/j.ejc.2016.03.005zbMath1339.05035OpenAlexW4300012609MaRDI QIDQ298329

Kenneth Barrese, Bruce E. Sagan, Nicholas A. Loehr, Jeffery B. Remmel

Publication date: 20 June 2016

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2016.03.005


zbMATH Keywords

Ferrers boards


Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)


Related Items (3)

The combinatorics of Jeff Remmel ⋮ A graph theory of rook placements ⋮ Rook and Wilf equivalence of integer partitions



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Rook-by-rook rook theory: Bijective proofs of rook and hit equivalences
  • An interpretation for Garsia and Remmel's \(q\)-hit numbers
  • \(m\)-level rook placements
  • \(m\)-rook numbers and a generalization of a formula of Frobenius to \(C_m \wr \mathcal S_n\)
  • Rook numbers and the normal ordering problem
  • The problem of the rooks and its applications
  • Commutation Relations, Normal Ordering, and Stirling Numbers
  • Method for constructing bijections for classical partition identities
  • Rook Theory. I.: Rook Equivalence of Ferrers Boards
  • Descent numbers and major indices for the hyperoctahedral group




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