Covering functionals of convex polytopes

DOI10.1016/j.laa.2019.04.022zbMath1418.52002OpenAlexW2941009862WikidataQ127986198 ScholiaQ127986198MaRDI QIDQ2002689

Chan He, Senlin Wu

Publication date: 12 July 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2019.04.022

zbMATH Keywords

coveringconvex bodyHadwiger's covering conjecture

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 (6)

Covering functionals of convex polytopes with few vertices ⋮ 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 ⋮ Covering functionals of Minkowski sums and direct sums of convex bodies ⋮ Covering a convex body vs. covering the set of its extreme points

Cites Work

• Measures of symmetry for convex sets and stability
• Affine diameters of convex bodies -- a survey
• A quantitative program for Hadwiger's covering conjecture
• Classical topics in discrete geometry
• Combinatorial problems on the illumination of convex bodies
• The geometry of homothetic covering and illumination
• Excursions into combinatorial geometry
• Research Problems in Discrete Geometry
• Lectures on Convex Sets
• On covering functionals of convex bodies

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