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Settling the no-$(k+1)$-in-line problem when $k$ is not small

math.CO · 2025-01-31 · conditional · novelty 8.0

For k > C sqrt(n log n), the maximum size of a point set in an n by n grid with no k+1 collinear points is exactly k n.

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Settling the no-$(k+1)$-in-line problem when $k$ is not small math.CO · 2025-01-31 · conditional · none · ref 5
For k > C sqrt(n log n), the maximum size of a point set in an n by n grid with no k+1 collinear points is exactly k n.

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