Authors: Milićević, Luka 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Classification theorem for strong triangle blocking arrangements
Journal: Publications de l'Institut Mathematique
Volume: 107
Issue: 121
First page: 1
Last page: 36
Issue Date: 1-Jan-2020
Rank: M24
ISSN: 0350-1302
DOI: 10.2298/PIM2021001M
URL: http://elib.mi.sanu.ac.rs/files/journals/publ/127/publn127p1-36.pdf
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. We 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.
Keywords: Blocking sets | Ordinary lines | Segment arrangements
Publisher: Mathematical Institute of the SASA
Project: Representations of logical structures and formal languages and their application in computing 

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