Estimations of covering functionals of simplices
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Publication:6180092
DOI10.7153/mia-2023-26-48OpenAlexW4385696446MaRDI QIDQ6180092
Chan He, Senlin Wu, Man Yu, Shenghua Gao
Publication date: 19 January 2024
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-2023-26-48
(n)-dimensional polytopes (52B11) Three-dimensional polytopes (52B10) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)
Cites Work
- On the covering index of convex bodies
- Illuminating and covering convex bodies
- Affine diameters of convex bodies -- a survey
- A quantitative program for Hadwiger's covering conjecture
- Covering functionals of cones and double cones
- Classical topics in discrete geometry
- Covering a plane convex body by four homothetical copies with the smallest positive ratio
- Combinatorial problems on the illumination of convex bodies
- An estimate for the problem of illumination of the boundary of a convex body in \(E^3\)
- The geometry of homothetic covering and illumination
- Covering functionals of convex polytopes
- Covering a convex body vs. covering the set of its extreme points
- Covering functionals of convex polytopes with few vertices
- The illumination conjecture and its extensions
- Excursions into combinatorial geometry
- Research Problems in Discrete Geometry
- Covering the Boundary of a Convex Set by Tiles
- Covering convex bodies by translates of convex bodies
- The problem of illumination of the boundary of a convex body by affine subspaces
- Homothetic covering of convex hulls of compact convex sets
- Solution of Hadwiger's Covering Problem for Centrally Symmetric Convex Bodies in E 3
- Hadwiger's Covering Conjecture and its Relatives
- Covering a convex body by its negative homothetic copies.
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