On the affine Sylvester problem

DOI10.1016/J.DAM.2010.03.016zbMath1226.05075OpenAlexW2025655359MaRDI QIDQ531604

Jonathan Lenchner

Publication date: 19 April 2011

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2010.03.016

zbMATH Keywords

arrangementsdualityordinary linesaffine Sylvester problemordinary pointsSylvester problemSylvester-Gallai

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25)

Cites Work

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• There exist \(6n/13\) ordinary points
• There are not too many magic configurations
• A survey of Sylvester's problem and its generalizations
• On the Number of Ordinary Lines Determined by n Points
• Sylvester's Problem on Collinear Points
• COLLINEARITY PROPERTIES OF SETS OF POINTS
• The Lines and Planes Connecting the Points of a Finite Set

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