Covering a convex body vs. covering the set of its extreme points

DOI10.1007/s13366-020-00516-5zbMath1462.52006OpenAlexW3043617190MaRDI QIDQ2022370

Chan He, Senlin Wu, Baofang Fan

Publication date: 29 April 2021

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-020-00516-5

zbMATH Keywords

convex bodycovering functionalHadwiger's covering problem

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

Covering convex hulls of compact convex sets with smaller homothetic copies ⋮ Estimations of covering functionals of simplices ⋮ A branch-and-bound approach for estimating covering functionals of convex bodies

Cites Work

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• Functionals on the spaces of convex bodies
• Affine diameters of convex bodies -- a survey
• A quantitative program for Hadwiger's covering conjecture
• Covering functionals of cones and double cones
• Combinatorial problems on the illumination of convex bodies
• The geometry of homothetic covering and illumination
• Covering functionals of convex polytopes
• Excursions into combinatorial geometry
• On the Facial Structure of a Convex Body
• Lectures on Convex Sets
• On covering functionals of convex bodies

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