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arXiv · 1809.08639

Classification theorem for strong triangle blocking arrangements

Luka Milićević
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Abstract

A strong triangle blocking arrangement is a geometric arrangement of some line segments in a triangle with certain intersection properties. It turns out that they are closely related to blocking sets. Our aim in this paper is to prove a classification theorem for strong triangle blocking arrangements. As an application, we obtain a new proof of the result of Ackerman, Buchin, Knauer, Pinchasi and Rote which says that $n$ points in general position cannot be blocked by $n-1$ points, unless $n = 2,4$. We also conjecture an extremal variant of the blocking points problem.

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Luka Milićević. 2018-09-23. Classification theorem for strong triangle blocking arrangements. https://arxiv.org/abs/1809.08639

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