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arXiv · 2608.19468

Large Finite Point Sets Have 4 Collinear Points or a 6-Clique

Édouard Bonnet
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Abstract

We prove that every finite point set of size at least $10^{11055931}$ has four collinear points or six points that pairwise see each other. This resolves the first open case of the big-line-big-clique conjecture of Kára, Pór, and Wood.

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Édouard Bonnet. 2026-08-19. Large Finite Point Sets Have 4 Collinear Points or a 6-Clique. https://arxiv.org/abs/2608.19468

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