论文标题
在飞机上的一个凸起的家族,满足$(4,3)$ - 可以用9点刺穿的财产
A family of convex sets in the plane satisfying the $(4,3)$-property can be pierced by nine points
论文作者
论文摘要
我们证明,在满足$(4,3)$的飞机上的每个有限家族都可以刺入$ 9 $的$(4,3)。这提高了Gyárfás,Kleitman和Tóth在2001年证明的$ 13 $。
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 Gyárfás, Kleitman, and Tóth in 2001.