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arXiv · 1403.1166

Mathematical optimization for packing problems

Fernando Mário de Oliveira Filho·Frank Vallentin
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Abstract

During the last few years several new results on packing problems were obtained using a blend of tools from semidefinite optimization, polynomial optimization, and harmonic analysis. We survey some of these results and the techniques involved, concentrating on geometric packing problems such as the sphere-packing problem or the problem of packing regular tetrahedra in R^3.

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Fernando Mário de Oliveira Filho, Frank Vallentin. 2014-03-05. Mathematical optimization for packing problems. https://arxiv.org/abs/1403.1166

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