Covering convex hulls of compact convex sets with smaller homothetic copies

DOI10.7153/mia-2022-25-22OpenAlexW4285128548MaRDI QIDQ5078938

Yafang Lv, Chan He, Senlin Wu, Keke Zhang

Publication date: 25 May 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2022-25-22

zbMATH Keywords

convex hullconvex bodycovering functionalHadwiger'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)

Cites Work

• Unnamed Item
• A quantitative program for Hadwiger's covering conjecture
• Covering functionals of cones and double cones
• Classical topics in discrete geometry
• Combinatorial problems on the illumination of convex bodies
• The geometry of homothetic covering and illumination
• Approximation of zonoids by zonotopes
• Combinatorial geometry of belt bodies
• Covering functionals of convex polytopes
• Covering a convex body vs. covering the set of its extreme points
• Excursions into combinatorial geometry
• Research Problems in Discrete Geometry
• Homothetic covering of convex hulls of compact convex sets
• Covering functionals of Minkowski sums and direct sums of convex bodies
• Lectures on Convex Sets
• Covering belt bodies by smaller homothetical copies
• On covering functionals of convex bodies

This page was built for publication: Covering convex hulls of compact convex sets with smaller homothetic copies