Density bounds for outer parallel domains of unit ball packings

DOI10.1134/S0081543815010162zbMath1328.52010arXiv1409.4508OpenAlexW3105429758MaRDI QIDQ492221

Károly Bezdek, Zsolt Lángi

Publication date: 20 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.4508

zbMATH Keywords

packingspacking densitycontact numbersouter parallel domainssoft balls

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of packing and covering (05B40)

Related Items (5)

An isoperimetric problem for three-dimensional parallelohedra ⋮ On the Optimality of the FCC Lattice for Soft Sphere Packing ⋮ The Kneser-Poulsen conjecture for special contractions ⋮ Bounds for totally separable translative packings in the plane ⋮ On contact graphs of totally separable packings in low dimensions

Uses Software

• Flyspeck

Cites Work

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• On a stronger form of Roger's lemma and the minimum surface area of Voronoi cells in unit ball packings
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