Károly Bezdek, Zsolt Lángi, “Density bounds for outer parallel domains of unit ball packings”, Труды МИАН, 2015, том 288,страницы 230

Эта публикация цитируется в 7 статьях

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

Аннотация: 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.

УДК: 514.1

Поступило в сентябре 2014 г.

Язык публикации: английский

DOI: 10.1134/S0371968515010161