The problem of the rooks and its applications
From MaRDI portal
Publication:2652455
DOI10.1215/S0012-7094-46-01324-5zbMath0060.02903OpenAlexW2045430532MaRDI QIDQ2652455
Publication date: 1946
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-46-01324-5
Related Items (39)
Bijections on \(m\)-level rook placements ⋮ Derangements on a Ferrers board ⋮ The rook numbers of Ferrers boards and the related restricted permutation numbers ⋮ Some stochastic processes in a random permutation ⋮ Rook poset equivalence of Ferrers boards ⋮ Systematic and deterministic graph minor embedding for Cartesian products of graphs ⋮ Combinatorics of diagrams of permutations ⋮ A vector space analog of permutations with restricted position ⋮ Shellable simplicial complex and switching rook polynomial of frame polyominoes ⋮ \(q\)-Stirling identities revisited ⋮ \(m\)-level rook placements ⋮ A representation on the labeled rooted forests ⋮ The partition polynomial of a finite set system ⋮ Counting descent pairs with prescribed tops and bottoms ⋮ A graph theory of rook placements ⋮ Eulerian polynomials via the Weyl algebra action ⋮ Elliptic rook and file numbers ⋮ Rook and Wilf equivalence of integer partitions ⋮ \(q\)-analogs of the inclusion-exclusion principle and permutations with restricted position ⋮ Completely effective error bounds for Stirling numbers of the first and second kinds via Poisson approximation ⋮ Rook theory and cycle-counting permutation statistics ⋮ \(m\)-rook numbers and a generalization of a formula of Frobenius to \(C_m \wr \mathcal S_n\) ⋮ An asymptotic distribution theory for Eulerian recurrences with applications ⋮ Rook theory for perfect matchings ⋮ A combinatorial interpretation of the \(p,q\)-hit numbers ⋮ Elliptic extensions of the alpha-parameter model and the rook model for matchings ⋮ Counting pattern-avoiding integer partitions ⋮ Rook Theory-IV. Orthogonal Sequences of Rook Polynomials ⋮ Unnamed Item ⋮ Rook-by-rook rook theory: Bijective proofs of rook and hit equivalences ⋮ Rook theory, compositions, and zeta functions ⋮ Rook theory and \(t\)-cores ⋮ Block diagonalization and $2$-unit sums of matrices over Prüfer domains ⋮ \(q\)-rook polynomials and matrices over finite fields ⋮ The distinguishing number and distinguishing chromatic number for posets ⋮ Generalized rook polynomials ⋮ Further investigation involving rook polynomials with only real zeros ⋮ Rook Theory of the Finite General Linear Group ⋮ Triangular Permutation Numbers
This page was built for publication: The problem of the rooks and its applications
