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On the maximum number of translates in a point set

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Publication:848857
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DOI10.1007/s00454-008-9111-9zbMath1185.68586OpenAlexW1990456596MaRDI QIDQ848857

Silvia Fernández-Merchant, Bernardo M. Ábrego, Bernardo Llano

Publication date: 23 February 2010

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

Full work available at URL: https://doi.org/10.1007/s00454-008-9111-9


zbMATH Keywords

translatespatternrational simplexgeometric patternKruskal-Macaulayrational dimensionscaled copiestranslated copies


Mathematics Subject Classification ID

Pattern recognition, speech recognition (68T10)


Related Items (1)

On the number of similar instances of a pattern in a finite set



Cites Work

  • Unit distances and diameters in Euclidean spaces
  • The maximum number of unit distances among \(n\) points in dimension four
  • Combinatorial geometry problems in pattern recognition
  • Structural results for planar sets with many similar subsets
  • Research Problems in Discrete Geometry
  • On Sets of Distances of n Points
  • Some extremal problems in geometry
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