Károly Bezdek, Zsolt Lángi, “Density bounds for outer parallel domains of unit ball packings”, Trudy Mat. Inst. Steklova, 2015, Volume 288,Pages <nobr>230

This article is cited in 7 papers

Density bounds for outer parallel domains of unit ball packings

Károly Bezdek^ab, Zsolt Lángi^c

^a Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
^b Department of Mathematics, University of Pannonia, Veszprém, Hungary
^c Department of Geometry, Budapest University of Technology and Economics, Budapest, Hungary

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. We also introduce packings of soft balls and give upper bounds for the fraction of space covered by them.

UDC: 514.1

Received in September 2014

Language: English

DOI: 10.1134/S0371968515010161