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arXiv · 2112.03336

Computing Tighter Bounds on the $n$-Queens Constant via Newton's Method

Parth Nobel·Akshay Agrawal·Stephen Boyd
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Abstract

In recent work Simkin shows that bounds on an exponent occurring in the famous $n$-queens problem can be evaluated by solving convex optimization problems, allowing him to find bounds far tighter than previously known. In this note we use Simkin's formulation, a sharper bound developed by Knuth, and a Newton method that scales to large problem instances, to find even sharper bounds.

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Parth Nobel, Akshay Agrawal, Stephen Boyd. 2021-12-06. Computing Tighter Bounds on the $n$-Queens Constant via Newton's Method. https://doi.org/10.1007/s11590-022-01933-2

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