Queen domination solution



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Mathematical Recreations and Essays, 13th ed. However, while this may generate a solution, I cannot figure out a way to guarantee that that solution is the minimal solution. 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. Sign up or log in StackExchange. These are called fundamental solutions; representatives of each are shown below. Fundamentals of Domination in Graphs.
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Mathematical chess problem


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Queen Domination


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Eight queens puzzle

The original -queen problem can be defined as placing queens on chessboard in an optimal way such as none of the queens should attack each other [ 22 , 23 ]. Red dots represent queens and blue dots represent squares dominated by the queens. The examples above can be obtained with the following formulas. In the second one the positions of bishops must be exchanged with an additional limitation, that enemy pieces do not attack each other.
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