Problem
Research questions and friction points this paper is trying to address.
finite point set
collinear points
big-line-big-clique conjecture
Large Finite Point Sets Have 4 Collinear Points or a 6-Clique
🤖 AI Summary
该研究解决了大线-大团猜想的首个开放问题，证明了至少10^11055931个点的任意有限点集包含4个共线点或6个两两可见的点。
📝 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.
Innovation
Methods, ideas, or system contributions that make the work stand out.
finite point set
collinear points
6-clique
big-line-big-clique conjecture
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2024-03-25arXiv.orgCitations: 0
