@article{793,
abstract = {Let P be a finite point set in the plane. A cordinary triangle in P is a subset of P consisting of three non-collinear points such that each of the three lines determined by the three points contains at most c points of P . Motivated by a question of Erdös, and answering a question of de Zeeuw, we prove that there exists a constant c > 0such that P contains a c-ordinary triangle, provided that P is not contained in the union of two lines. Furthermore, the number of c-ordinary triangles in P is Ω(| P |). },
author = {Fulek, Radoslav and Mojarrad, Hossein and Naszódi, Márton and Solymosi, József and Stich, Sebastian and Szedlák, May},
issn = {09257721},
journal = {Computational Geometry: Theory and Applications},
pages = {28 -- 31},
publisher = {Elsevier},
title = {{On the existence of ordinary triangles}},
doi = {10.1016/j.comgeo.2017.07.002},
volume = {66},
year = {2017},
}