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No-three-in-line sets on the checkerboard grid

Prellberg, Thomas
arXiv (OAI Expanded) · Papers
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90c05combinatoricsmetric-geometry
The classical no-three-in-line problem asks for the largest number $D(n)$ of points that can be chosen from an $n\times n$ grid with no three collinear; it remains open whether the elementary upper bound $2n$ is always attainable. We study a checkerboard-restricted variant in which all chosen points
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