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Rook polynomial

Known as: Rook polynomials 
In combinatorial mathematics, a rook polynomial is a generating polynomial of the number of ways to place non-attacking rooks on a board that looks… 
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Related topics

Related topics

7 relations
CoefficientDerangementLaguerre polynomialsMatching (graph theory)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2009
2009
Rook Polynomials In Higher Dimensions
A rook polynomial counts the number of placements of non-attacking rooks on a board. In this paper we describe generalizations of… 
2008
2008
H-Polynomials and rook Polynomials
The purpose of this paper is twofold. First we describe a useful procedure for computing the H-polynomials of reductive monoids… 
2004
2004
A Generator of Rook Polynomials
On a chessboard of any configuration, a rook is nontaking if the cell it occupies is not in the same row or column as the cell of… 
2004
2004
Die ondersteuning van leerders uit hoe risiko-gemeenskappe in primere skole
2003
2003
Ferrers Matrices Characterized by the Rook Polynomials
In this paper,we show that there exist precisely W(A) Ferrers matrices F(C1,C2,…,cm)such that the rook polynomials is equal to… 
2000
2000
Comparison of grassland management systems for beef cattle using self-contained farmlets: effects of contrasting nitrogen inputs and management strategies on nitrogen budgets, and herbage and animal…
2000
2000
Further Investigations Involving Rook Polynomials With Only Real Zeros
  • J. Haglund
  • European journal of combinatorics (Print)
  • 2000
  • Corpus ID: 3152654
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based… 
1997
1997
THEOREMS AND CONJECTURES INVOLVING ROOK POLYNOMIALS WITH REAL ROOTS
Let A = (a ij) be a real n n matrix with non-negative entries which are weakly increasing down columns. If B = (b ij) is the nn… 
1996
1996
On Garsia-Remmel problem of rook equivalence
1982
1982
GENETIC VARIATION IN FROST TOLERANCE, EARLY HEIGHT GROWTH, AND INCIDENCE OF FORKING AMONG AND WITHIN PROVENANCES OF EUCALYPTUS FASTIGATA
One hundred and twenty-six seedlots (115 open-pollinated families and 11 composites) of Eucalyptus fastigata Deane & Maid… 
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