Skip to search formSkip to main content
You are currently offline. Some features of the site may not work correctly.

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… Expand
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2009
2009
A rook polynomial counts the number of placements of non-attacking rooks on a board. In this paper we describe generalizations of… Expand
Is this relevant?
2008
2008
The purpose of this paper is twofold. First we describe a useful procedure for computing the H-polynomials of reductive monoids… Expand
  • figure 1
  • figure 3
Is this relevant?
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… Expand
  • figure 4:2
  • figure 5:3
Is this relevant?
2000
2000
Past research on nitrogen (N) inputs, losses and surpluses focused on separate components of grassland management, i.e., grazed… Expand
  • table 1
  • table 2
  • table 3
  • table 4
  • table 5
Is this relevant?
2000
2000
We study the zeros of two families of polynomials related to rook theory and matchings in graphs. One of these families is based… Expand
  • figure 1
Is this relevant?
1997
1997
  • Ken Ono, David G. WagnerMarch
  • 1997
  • Corpus ID: 16599713
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… Expand
Is this relevant?
1996
1996
The number of ways of placingknon-attacking rooks on a Ferrers board is expressed as a hypergeometric series of a type originally… Expand
Is this relevant?
1989
1989
We consider several generalizations of rook polynomials. In particular we develop analogs of the theory of rook polynomials that… Expand
Is this relevant?
1978
1978
Abstract This paper studies the relationship between the rook vector of a general board and the chromatic structure of an… Expand
  • figure 2
Is this relevant?
1976
1976
Abstract The concept of rook polynomial of a “chessboard” may be generalized to the rook polynomial of an arbitrary rectangular… Expand
Is this relevant?