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Abstract
In this paper we show that for any integer n and real number 0 ≤ α≤ 1 there exists a point set of size n with Θ(n ^{3} ^{} ^{α}) empty triangles such that any point of the plane is in O(n ^{3} ^{} ^{2} ^{α}) empty triangles.
Original language  English 

Title of host publication  Trends in Mathematics 
Subtitle of host publication  Extended Abstracts EuroComb 2021 
Pages  720725 
Number of pages  6 
DOIs  
Publication status  Published  2021 
Event  European Conference on Combinatorics, Graph Theory and Applications: EuroComb 2021  Online, Virtual, Barcelona, Spain Duration: 6 Sep 2021 → 10 Sep 2021 
Publication series
Name  Trends in Mathematics 

Volume  14 
ISSN (Print)  22970215 
ISSN (Electronic)  2297024X 
Conference
Conference  European Conference on Combinatorics, Graph Theory and Applications 

Country/Territory  Spain 
City  Virtual, Barcelona 
Period  6/09/21 → 10/09/21 
Keywords
 Combinatorial geometry
 Empty triangles
 Horton sets
 Selection Lemma
 Squared Horton sets
ASJC Scopus subject areas
 Mathematics(all)
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No Selection Lemma for Empty Triangles
Daniel Perz (Speaker)
2021Activity: Talk or presentation › Talk at conference or symposium › Science to science