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Tolerance in Helly-type theorems

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Publication:629843
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DOI10.1007/s00454-010-9296-6zbMath1216.52006OpenAlexW1971444741MaRDI QIDQ629843

Luis Montejano, Deborah Oliveros

Publication date: 10 March 2011

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

Full work available at URL: https://doi.org/10.1007/s00454-010-9296-6


zbMATH Keywords

toleranceHelly-type theorem


Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35)


Related Items (6)

A generalisation of Tverberg's theorem ⋮ Helly’s theorem: New variations and applications ⋮ Robust Tverberg and Colourful Carathéodory Results via Random Choice ⋮ Equal coefficients and tolerance in coloured Tverberg partitions ⋮ ALGORITHMS FOR TOLERANT TVERBERG PARTITIONS ⋮ About an Erdős-Grünbaum conjecture concerning piercing of non-bounded convex sets



Cites Work

  • Minimum number of elements of representing a set system of given rank
  • Flat transversals to flats and convex sets of a fixed dimension
  • On Sets Projectively Equivalent to the Vertices of a Convex Polytope
  • Lawrence oriented matroids and a problem of McMullen on projective equivalences of polytopes
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