On the existence of ordinary triangles

DOI10.1016/j.comgeo.2017.07.002zbMath1390.52025arXiv1701.08183OpenAlexW2585554627MaRDI QIDQ1693316

Sebastian U. Stich, Radoslav Fulek, May Szedlák, József Solymosi, Hossein Nassajian Mojarrad, Márton Naszódi

Publication date: 12 February 2018

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08183

zbMATH Keywords

Dirac-Motzkin conjectureordinary linesincidencesplanar point setordinary triangle

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Cites Work

• Unnamed Item
• On sets defining few ordinary lines
• Extremal problems in discrete geometry
• Improving the crossing lemma by finding more crossings in sparse graphs
• A survey of Sylvester's problem and its generalizations
• On the Number of Ordinary Conics
• Extremal Combinatorics
• Research problems

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