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Generalizations of the Szemerédi-Trotter theorem

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Publication:282741
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DOI10.1007/s00454-016-9759-5zbMath1346.52009arXiv1408.5915OpenAlexW2253180889MaRDI QIDQ282741

Ben Yang, Noam Solomon, Saarik Kalia, Micha Sharir

Publication date: 12 May 2016

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

Full work available at URL: https://arxiv.org/abs/1408.5915


zbMATH Keywords

cell decompositionflagspolynomial methodSzemeredi-Trotter incidence theorem


Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • The Szemerédi-Trotter theorem in the complex plane
  • On the Erdős distinct distances problem in the plane
  • A Szemerédi-Trotter type theorem in \(\mathbb R^4\)
  • Extremal problems in discrete geometry
  • Algebraic methods in discrete analogs of the Kakeya problem
  • On lines, joints, and incidences in three dimensions
  • Legendrian subvarieties of projective space
  • Point–Line Incidences in Space


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