The Katchalski-Lewis transversal problem for regular polygons

DOI10.1007/s10474-018-0823-xzbMath1413.52009OpenAlexW2801193665WikidataQ129972862 ScholiaQ129972862MaRDI QIDQ722358

D. Kharzeev

Publication date: 23 July 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-018-0823-x

zbMATH Keywords

line transversaltranslate\(2n\)-gon

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Über ein Problem aus der kombinatorischen Geometrie
• On common transversals
• Proof of Grünbaum's conjecture on common transversals for translates
• New bounds on the Katchalski-Lewis transversal problem
• Line transversals to unit disks
• Proof of the Katchalski-Lewis transversal conjecture for \(T(3)\)-families of congruent discs
• New upper bound on the transversal width of \(T\)(3)-families of discs
• Cutting Families of Convex Sets
• A conjecture of Grünbaum on common transversals.

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