enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Eight queens puzzle - Wikipedia

    en.wikipedia.org/wiki/Eight_queens_puzzle

    Nauck also extended the puzzle to the n queens problem, with n queens on a chessboard of n×n squares. Since then, many mathematicians, including Carl Friedrich Gauss, have worked on both the eight queens puzzle and its generalized n-queens version. In 1874, S. Günther proposed a method using determinants to find solutions. [1]

  3. Min-conflicts algorithm - Wikipedia

    en.wikipedia.org/wiki/Min-conflicts_algorithm

    Min-Conflicts solves the N-Queens Problem by selecting a column from the chess board for queen reassignment. The algorithm searches each potential move for the number of conflicts (number of attacking queens), shown in each square. The algorithm moves the queen to the square with the minimum number of conflicts, breaking ties randomly.

  4. Mathematical chess problem - Wikipedia

    en.wikipedia.org/wiki/Mathematical_chess_problem

    A mathematical chess problem is a mathematical problem which is formulated using a chessboard and chess pieces. These problems belong to recreational mathematics . The most well-known problems of this kind are the eight queens puzzle and the knight's tour problem, which have connection to graph theory and combinatorics .

  5. Backtracking - Wikipedia

    en.wikipedia.org/wiki/Backtracking

    For this class of problems, the instance data P would be the integers m and n, and the predicate F. In a typical backtracking solution to this problem, one could define a partial candidate as a list of integers c = (c[1], c[2], …, c[k]), for any k between 0 and n, that are to be assigned to the first k variables x[1], x[2], …, x[k]. The ...

  6. N queens problem - Wikipedia

    en.wikipedia.org/?title=N_queens_problem&redirect=no

    This page was last edited on 10 December 2005, at 09:48 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.

  7. Problems in Latin squares - Wikipedia

    en.wikipedia.org/wiki/Problems_in_Latin_squares

    Comments: Wanless, McKay and McLeod have bounds of the form c n < T(n) < d n n!, where c > 1 and d is about 0.6. A conjecture by Rivin, Vardi and Zimmermann (Rivin et al., 1994) says that you can place at least exp(c n log n) queens in non-attacking positions on a toroidal chessboard (for some constant c). If true this would imply that T(n ...

  8. Binary constraint - Wikipedia

    en.wikipedia.org/wiki/Binary_constraint

    A binary constraint, in mathematical optimization, is a constraint that involves exactly two variables.. For example, consider the n-queens problem, where the goal is to place n chess queens on an n-by-n chessboard such that none of the queens can attack each other (horizontally, vertically, or diagonally).

  9. Queen's graph - Wikipedia

    en.wikipedia.org/wiki/Queen's_graph

    A dominating set of the queen's graph corresponds to a placement of queens such that every square on the chessboard is either attacked or occupied by a queen. On an 8 × 8 {\displaystyle 8\times 8} chessboard, five queens can dominate, and this is the minimum number possible [ 4 ] : 113–114 (four queens leave at least two squares unattacked).