English

On a relation between packing and covering densities of convex bodies

Metric Geometry 2018-11-12 v1 Combinatorics

Abstract

We show that a convex body admits a translative dense packing in Rd\mathbb{R}^d if and only if it admits a translative economical covering.

Keywords

Cite

@article{arxiv.1811.03983,
  title  = {On a relation between packing and covering densities of convex bodies},
  author = {Roman Prosanov},
  journal= {arXiv preprint arXiv:1811.03983},
  year   = {2018}
}