Distinct Distances from Three Points
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Publication:5366908
DOI10.1017/S0963548315000231zbMath1372.52020arXiv1308.0814OpenAlexW3099831362MaRDI QIDQ5366908
Publication date: 10 October 2017
Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.0814
Extremal problems in graph theory (05C35) Erd?s problems and related topics of discrete geometry (52C10) Combinatorial complexity of geometric structures (52C45)
Related Items (8)
The Elekes-Szabó problem and the uniformity conjecture ⋮ On bipartite distinct distances in the plane ⋮ Improved Elekes-Szabó type estimates using proximity ⋮ Incidence problems in harmonic analysis, geometric measure theory, and ergodic theory. Abstracts from the workshop held June 4--9, 2023 ⋮ On the dimension of exceptional parameters for nonlinear projections, and the discretized Elekes-Rónyai theorem ⋮ Few distinct distances implies no heavy lines or circles ⋮ On triple intersections of three families of unit circles ⋮ Distinct Distances on Algebraic Curves in the Plane
Cites Work
- On the graph of large distances
- A combinatorial problem on polynomials and rational functions
- How to find groups?
- Distinct distances on two lines
- A Combinatorial Distinction Between Unit Circles and Straight Lines: How Many Coincidences Can they Have?
- Crossing Numbers and Hard Erdős Problems in Discrete Geometry
- On the Number of Incidences Between Points and Curves
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