On a problem by Dol'nikov
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Publication:2344787
DOI10.1016/j.disc.2015.04.009zbMath1317.52013arXiv1310.4714OpenAlexW2071386486MaRDI QIDQ2344787
Publication date: 18 May 2015
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1310.4714
Convex sets in (2) dimensions (including convex curves) (52A10) Helly-type theorems and geometric transversal theory (52A35)
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On a colorful problem by Dol'nikov concerning translates of convex bodies ⋮ Helly’s theorem: New variations and applications
Cites Work
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- Piercing convex sets and the Hadwiger-Debrunner \((p,q)\)-problem
- Transversals for families of translates of a two-dimensional convex compact set
- Colourful and fractional \((p,q)\)-theorems
- Transversal numbers of translates of a convex body
- Convex sets in the plane with three of every four meeting
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