Fundamentals of Domination in Graphs. Mathematical chess problems Chess problems Recreational mathematics Enumerative combinatorics in chess Mathematical problems. A 'reasonably good' starting point can for instance be found by putting each queen in its own row and column so that it conflicts with the smallest number of queens already on the board. Magic cube classes Magic hypercube Magic hyperbeam. Michael Robinson 1 9 The number of solutions to this problem for queens with odd are 1, 3, 15, , , ,
Journal of Optimization
A Genetic Algorithm Based Approach for Solving the Minimum Dominating Set of Queens Problem
From Wikipedia, the free encyclopedia. This chapter discusses the perfect graph conjecture for toroidal graphs. Obtaining n-queens solutions from magic squares and constructing magic squares from n-queens solutions. However, while this may generate a solution, I cannot figure out a way to guarantee that that solution is the minimal solution. The domination percentage has been improved slightly when adding one queen to board.
Description: Jijo Varghese 59 5. Similarly, five was reported as the domination number for the case of and chessboard; however, the GA was not able to cover the whole board. In the first one the goal is to exchange the positions of white and black knights. Martin Richards published a program to count solutions to the n-queens problem using bitwise operations.