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Eckhoff's problem on convex sets in the plane

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Publication:2049618
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DOI10.37236/9978zbMath1471.52001OpenAlexW3201054885MaRDI QIDQ2049618

Adam S. Jobson, André E. Kézdy, Jenő Lehel

Publication date: 27 August 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.37236/9978


zbMATH Keywords

Helly's theoremconvex sets in the planeEckhoff's conjecture


Mathematics Subject Classification ID

Extremal set theory (05D05) Transversal (matching) theory (05D15) Convex sets in (2) dimensions (including convex curves) (52A10) Helly-type theorems and geometric transversal theory (52A35) Graph representations (geometric and intersection representations, etc.) (05C62)


Related Items

The Szemerédi-Petruska conjecture for a few small values ⋮ The equivalence of the Szemerédi and Petruska conjecture and the maximum order of 3-uniform \(\tau\)-critical hypergraphs



Cites Work

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  • Petruska's question on planar convex sets
  • Critical hypergraphs and interesting set-pair systems
  • Upper bound on the order of tau-critical hypergraphs
  • Minimal 2-fold coverings of \({\mathbf E}^ d\)
  • The Szemerédi-Petruska conjecture for a few small values
  • Problems in Discrete Geometry
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