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Home > Mathematics and Science Textbooks > Mathematics > Rook Polynomial
Rook Polynomial

Rook Polynomial


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About the Book

High Quality Content by WIKIPEDIA articles! 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 like a checkerboard; that is, no two rooks may be in the same row or column. The board is any subset of the squares of a rectangular board with m rows and n columns; we think of it as the squares in which one is allowed to put a rook. The board is the ordinary chessboard if all squares are allowed and m = n = 8 and a chessboard of any size if all squares are allowed and m = n. The coefficient of x k in the rook polynomial RB(x) is the number of ways k rooks, none of which attacks another, can be arranged in the squares of B. The rooks are arranged in such a way that there is no pair of rooks in the same row or column. In this sense, an arrangement is the positioning of rooks on a static, immovable board; the arrangement will (usually) be different if the board is rotated or reflected.


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Product Details
  • ISBN-13: 9786132973504
  • Publisher: Betascript Publishing
  • Publisher Imprint: Betascript Publishing
  • Height: 152 mm
  • Weight: 181 gr
  • ISBN-10: 6132973508
  • Publisher Date: 11 Sep 2010
  • Binding: Paperback
  • Spine Width: 7 mm
  • Width: 229 mm


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