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… (More)
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Topic mentions per year

Topic mentions per year

1976-2016
02419762016

Papers overview

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2012
2012
  • FERYAL ALAYONT
  • 2012
The rook polynomial of a board counts the number of ways of placing non-attacking rooks on the board. In this paper, we describe… (More)
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2008
2008
There are a number of so-called factorization theorems for rook polynomials that have appeared in the literature. For example… (More)
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2007
2007
We characterise the permutations π such that the elements in the closed lower Bruhat interval [id, π] of the symmetric group… (More)
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2000
2000
Generalizing the notion of placing rooks on a Ferrers board leads to a new class of combinatorial models and a new class of rook… (More)
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1997
1997
A theorem contained in the paper 'A combinatoric formula' by Wang, Lee and Tan (J. Math. Anal. Appl. 160 (1991) 500--503) gives… (More)
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1997
1997
Connections between q-rook polynomials and matrices over nite elds are exploited to derive a new statistic for Garsia and Remmel… (More)
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1996
1996
The number of ways of placing k non-attacking rooks on a Ferrers board is expressed as a hypergeometric series, of a type… (More)
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1996
1996
In 1987, Garsia and Remmel proved a theorem that two Ferrers boards share the same rook polynomial if and only if they share all… (More)
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1989
1989
We consider several generalizations of rook polynomials. In particular we develop analogs of the theory of rook polynomials that… (More)
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1978
1978
The purpose of this paper is to study the relationship between the rook vector of a general board and the chromatic structure of… (More)
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