Geodesic
Density bounds for outer parallel domains of unit ball packings
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and applications, Tome 288 (2015), pp. 230-247

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We give upper bounds for the density of unit ball packings relative to their outer parallel domains and discuss their connection to contact numbers. We also introduce packings of soft balls and give upper bounds for the fraction of space covered by them. 
@article{TM_2015_288_a15,
     author = {K\'aroly Bezdek and Zsolt L\'angi},
     title = {Density bounds for outer parallel domains of unit ball packings},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {230--247},
     publisher = {mathdoc},
     volume = {288},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_288_a15/}
}
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Károly Bezdek; Zsolt Lángi. Density bounds for outer parallel domains of unit ball packings. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Geometry, topology, and applications, Tome 288 (2015), pp. 230-247. http://geodesic.mathdoc.fr/item/TM_2015_288_a15/