Sharp Szemerédi-Trotter Constructions in the Plane

We present a new family of sharp examples for the Szemerédi-Trotter theorem. These are the first examples not based on a rectangular lattice. We also include an application to the discrete inverse Loomis-Whitney problem.

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Bibliographic Details
Published inThe Electronic journal of combinatorics Vol. 32; no. 1
Main Authors Guth, Larry, Silier, Olivine
Format Journal Article
LanguageEnglish
Published 17.01.2025
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Summary:We present a new family of sharp examples for the Szemerédi-Trotter theorem. These are the first examples not based on a rectangular lattice. We also include an application to the discrete inverse Loomis-Whitney problem.
ISSN:1077-8926
1077-8926
DOI:10.37236/10899