A note on distinct distances in rectangular lattices

DOI10.1016/j.disc.2014.07.021zbMath1300.52012OpenAlexW2061074723MaRDI QIDQ740655

Adam Sheffer, Javier Cilleruelo, Micha Sharir

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.disc.2014.07.021

zbMATH Keywords

latticedistinct distancesdiscrete geometry

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (2)

Few distinct distances implies no heavy lines or circles ⋮ Sets with few distinct distances do not have heavy lines

Cites Work

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• On the geometry of the nodal lines of eigenfunctions of the two-dimensional torus
• On some metric and combinatorial geometric problems
• On some problems of elementary and combinatorial geometry
• Few distinct distances implies no heavy lines or circles
• Trigonometric Polynomials and Lattice Points
• Distinct distances on algebraic curves in the plane
• On Sets of Distances of n Points

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