Density bounds for outer parallel domains of unit ball packings
Metric Geometry
2015-11-24 v2
Abstract
We give upper bounds for the density of unit ball packings relative to their outer parallel domains and discuss their connection to contact numbers. Also, packings of soft balls are introduced and upper bounds are given for the fraction of space covered by them.
Keywords
Cite
@article{arxiv.1409.4508,
title = {Density bounds for outer parallel domains of unit ball packings},
author = {Karoly Bezdek and Zsolt Langi},
journal= {arXiv preprint arXiv:1409.4508},
year = {2015}
}
Comments
22 pages, 1 figure