Homotheties and incidences

DOI10.1016/j.disc.2018.04.003zbMath1393.51015arXiv1709.02933OpenAlexW2963124800WikidataQ129780293 ScholiaQ129780293MaRDI QIDQ1752674

Micha Sharir, Dror Aiger

Publication date: 24 May 2018

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

Full work available at URL: https://arxiv.org/abs/1709.02933

zbMATH Keywords

combinatorial geometryincidenceshomothety transformation

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Erd?s problems and related topics of discrete geometry (52C10) Affine analytic geometry (51N10)

Related Items

Incidences of Möbius transformations in \(\mathbb{F}_p\)

Cites Work

• The Szemerédi-Trotter theorem in the complex plane
• On the Erdős distinct distances problem in the plane
• Incidences between points and lines in \({\mathbb {R}}^4\)
• On lines and joints
• A Szemerédi-Trotter type theorem in \(\mathbb R^4\)
• Finding squares and rectangles in sets of points
• 2N noncollinear points determine at least 2N directions
• Combinatorial geometry problems in pattern recognition
• Algebraic methods in discrete analogs of the Kakeya problem
• On lines, joints, and incidences in three dimensions
• The Joints Problem in $\mathbb{R}^n$
• Research Problems in Discrete Geometry
• On the structure of sets with many k-term arithmetic progressions
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