A family of convex sets in the plane satisfying the $(4,3)$-property can be pierced by nine points
نشر في Daniel McGinnis
بتاريخ 2020
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English
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We prove that every finite family of convex sets in the plane satisfying the $(4,3)$-property can be pierced by $9$ points. This improves the bound of $13$ proved by Gyarfas, Kleitman, and Toth in 2001.