rook polynomial

rook polynomial

[′ru̇k ‚päl·ə′nō·mē·əl]
(mathematics)
A polynomial in which the coefficient of xk is the number of ways the k rooks can be placed on a chessboard of specified size so that no rook can capture another rook (that is, so that no two rooks are in the same row or the same column).
References in periodicals archive ?
The rook polynomial of a board is the generating function for the [r.
Generalized rook polynomials and orthogonal polynomials.
Further investigations involving rook polynomials with only real zeros.