Hidden Structure in the Solutions Set of the N Queens Problem

T. E. Raptis

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arXiv · 1909.05628

Hidden Structure in the Solutions Set of the N Queens Problem

T. E. Raptis

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Abstract

Some preliminary results are reported on the equivalence of any n-queens problem with the roots of a Boolean valued quadratic form via a generic dimensional reduction scheme. It is then proven that the solutions set is encoded in the entries of a special matrix. Further examination reveals a direct association with pointwise Boolean fractal operators applied on certain integer sequences associated with this matrix suggesting the presence of an underlying special geometry of the solutions set.

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T. E. Raptis. 2019-07-26. Hidden Structure in the Solutions Set of the N Queens Problem. https://arxiv.org/abs/1909.05628

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