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An improved bound on the number of unit area triangles

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Publication:603876
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DOI10.1007/s00454-010-9265-0zbMath1202.52017OpenAlexW2569635453MaRDI QIDQ603876

Micha Sharir, Roel Apfelbaum

Publication date: 8 November 2010

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-010-9265-0

zbMATH Keywords

cuttinggeometric incidencesrepeated configurationsunit area triangles


Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10)


Related Items

On the number of unit-area triangles spanned by convex grids in the plane, An improved bound on the number of unit area triangles, Triangle areas in line arrangements, The number of unit-area triangles in the plane: theme and variation



Cites Work

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  • An improved bound on the number of unit area triangles
  • Extremal problems in discrete geometry
  • Combinatorial complexity bounds for arrangements of curves and spheres
  • Extremal problems on triangle areas in two and three dimensions
  • Repeated angles in the plane and related problems
  • On a problem of K. Zarankiewicz
  • Some extremal problems in geometry
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