In combinatorial mathematics, a rook polynomial is a generating polynomial of the number of ways to place non-attacking rooks on a board that looksâ€¦Â (More)

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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 describeâ€¦Â (More)

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2008

2008

- Brian K. Miceli, Jeffrey B. Remmel
- Electr. J. Comb.
- 2008

There are a number of so-called factorization theorems for rook polynomials that have appeared in the literature. For exampleâ€¦Â (More)

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2007

2007

- Jonas SjÃ¶strand
- J. Comb. Theory, Ser. A
- 2007

We characterise the permutations Ï€ such that the elements in the closed lower Bruhat interval [id, Ï€] of the symmetric groupâ€¦Â (More)

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2000

2000

- Jay Goldman, James Haglund
- J. Comb. Theory, Ser. A
- 2000

Generalizing the notion of placing rooks on a Ferrers board leads to a new class of combinatorial models and a new class of rookâ€¦Â (More)

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1997

1997

- Markus Fulmek
- Discrete Mathematics
- 1997

A theorem contained in the paper 'A combinatoric formula' by Wang, Lee and Tan (J. Math. Anal. Appl. 160 (1991) 500--503) givesâ€¦Â (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 Remmelâ€¦Â (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 typeâ€¦Â (More)

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1996

1996

- Kequan Ding, Paul Terwilliger
- Discrete Mathematics
- 1996

In 1987, Garsia and Remmel proved a theorem that two Ferrers boards share the same rook polynomial if and only if they share allâ€¦Â (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 thatâ€¦Â (More)

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1978

1978

- Jay R. Goldman, James T. Joichi, Dennis E. White
- J. Comb. Theory, Ser. B
- 1978

The purpose of this paper is to study the relationship between the rook vector of a general board and the chromatic structure ofâ€¦Â (More)

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