Challenging mathematical problems with elementary solutions
Challenging mathematical problems with elementary solutions
Chessboard domination problems
Discrete Mathematics - Topics on domination
Symbolic Boolean manipulation with ordered binary-decision diagrams
ACM Computing Surveys (CSUR)
Relations and graphs: discrete mathematics for computer scientists
Relations and graphs: discrete mathematics for computer scientists
RelView: an OBDD-based computer algebra system for relations
CASC'05 Proceedings of the 8th international conference on Computer Algebra in Scientific Computing
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We describe a simple computing technique for solving independence and domination problems on rectangular chessboards. It rests upon relational modelling and uses the BDD-based tool RelView for the evaluation of the relation-algebraic expressions that specify the problems' solutions and the visualization of the computed results. The technique described in the paper is very flexible and especially appropriate for experimentation. It can easily be applied to other chessboard problems.