Levi's Lemma, pseudolinear drawings of $K_n$, and empty triangles
Combinatorics
2015-11-24 v1 Geometric Topology
Abstract
There are three main thrusts to this article: a new proof of Levi's Enlargement Lemma for pseudoline arrangements in the real projective plane; a new characterization of pseudolinear drawings of the complete graph; and proofs that pseudolinear and convex drawings of have O and O, respectively, empty triangles. All the arguments are elementary, algorithmic, and self-contained.
Keywords
Cite
@article{arxiv.1511.06808,
title = {Levi's Lemma, pseudolinear drawings of $K_n$, and empty triangles},
author = {Alan Arroyo and Dan McQuillan and Bruce Richter and Gelasio Salazar},
journal= {arXiv preprint arXiv:1511.06808},
year = {2015}
}