Year: 2018
Type: article
Abstract: We construct nine lines in the plane over the integers having the property that for any three general points in the plane over any field, at last one of the constructed lines avoids the three points. We then show that nine lines is the fewest number possible having this property.
Source: The Mathematics Enthusiast
Author: Roy Mikael Skjelnes
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2805695114