论文标题

凸多边形和凸组的分离

Convex polygons and separation of convex sets

论文作者

Rivera-Campo, Eduardo, Urrutia, Jorge

论文摘要

我们证明,对于任何$ n \ ge 2 $ 2 $成对脱节的for的收集f,在飞机上有一对f中的一对a和b,使得任何将A与B分开的线都将A或B与至少N/18集的f的f分隔为a或b。

We prove that for any collection F of $n \ge 2$ pairwise disjoint compact convex sets in the plane there is a pair of sets A and B in F such that any line that separates A from B separates either A or B from a subcollection of F with at least n/18 sets.

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