Piercing numbers for balanced and unbalanced families

DOI10.1007/s00454-010-9295-7zbMath1217.52004OpenAlexW2089697610MaRDI QIDQ629842

Luis Montejano, Pablo Soberón

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/s00454-010-9295-7

zbMATH Keywords

family of convex setspiercing number

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (6)

On piercing numbers of families satisfying the \((p,q)_{r}\) property ⋮ Unnamed Item ⋮ Helly’s theorem: New variations and applications ⋮ On transversal numbers of intersecting straight line systems and intersecting segment systems ⋮ On transversal and 2-packing numbers in uniform linear systems ⋮ Helly-type problems

Cites Work

• Über eine Variante zum Hellyschen Satz
• Piercing convex sets and the Hadwiger-Debrunner \((p,q)\)-problem
• Helly-type theorems on the homology of the space of transversals
• Convex sets in the plane with three of every four meeting

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