Geodesic
Sharp Szemerédi-Trotter constructions in the plane
Larry Guth1 ; Olivine Silier2
1MIT
2UC Berkeley
The electronic journal of combinatorics, Tome 32 (2025) no. 1
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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.
DOI : 10.37236/10899
Classification : 52C35, 52C10
Mots-clés : incidences, constructions, Szemeredi-Trotter Theorem

Larry Guth  1   ; Olivine Silier  2

1 MIT
2 UC Berkeley 
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     author = {Larry Guth and Olivine Silier},
     title = {Sharp {Szemer\'edi-Trotter} constructions in the plane},
     journal = {The electronic journal of combinatorics},
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Larry Guth; Olivine Silier. Sharp Szemerédi-Trotter constructions in the plane. The electronic journal of combinatorics, Tome 32 (2025) no. 1. doi: 10.37236/10899

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