On distinct distances and \(\lambda \)-free point sets

DOI10.1016/j.disc.2007.11.046zbMath1159.52018OpenAlexW2034645577MaRDI QIDQ998391

Adrian Dumitrescu

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.11.046

zbMATH Keywords

distinct distancesset arithmetic\(\lambda \)-triplesmidpoint-free sets

Mathematics Subject Classification ID

Extremal set theory (05D05) Inequalities and extremum problems involving convexity in convex geometry (52A40) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (2)

Distinct distances and arithmetic progressions ⋮ On distinct distances among points in general position and other related problems

Cites Work

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• Arithmetical progressions and the number of sums
• On distinct sums and distinct distances.
• Isosceles triangles determined by a planar point set
• Integer sets containing no arithmetic progressions
• Integer Sets Containing No Arithmetic Progressions
• On Sets of Integers Which Contain No Three Terms in Arithmetical Progression
• On Sets of Distances of n Points
• Distinct distances in the plane

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