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Large simplices determined by finite point sets

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Publication:1943341
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DOI10.1007/s13366-012-0126-2zbMath1267.52015OpenAlexW2012097136MaRDI QIDQ1943341

Filip Morić, János Pach

Publication date: 19 March 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-012-0126-2


zbMATH Keywords

distance graphsdiameter graphsnumber of cliqueslarge distancesregular simplices


Mathematics Subject Classification ID

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


Related Items (2)

Remarks on Schur's conjecture ⋮ Proof of Schur's conjecture in \(\mathbb R^D\)


Uses Software

  • MathOverflow


Cites Work

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  • Variations on the theme of repeated distances
  • On the graph of large distances
  • A new proof of Vázsonyi's conjecture
  • Unit distances and diameters in Euclidean spaces
  • On large distances in planar sets
  • Repeated distances in space
  • The two largest distances in finite planar sets
  • Counting Large Distances in Convex Polygons: A Computational Approach
  • A counterexample to Borsuk’s conjecture
  • Research Problems in Discrete Geometry
  • On Sets of Distances of n Points


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