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Reflections on the N + k Queens Problem

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Abstract:

The N queens problem is a classic puzzle. It asks for an arrangement of N mutually non-attacking queens on an N × N chessboard. We discuss a recent variation called the N + k queens problem, where pawns are added to the chessboard to allow a greater number of non-attacking queens to be placed on it. We describe some of what is known about the problem, prove a few new results, and propose some open questions.

Document Type: Research Article

DOI: http://dx.doi.org/10.4169/193113409X469433

Publication date: May 1, 2009

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