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A survey on the kissing numbers

Metric Geometry 2015-07-15 v1

Abstract

The maximum possible number of non-overlapping unit spheres that can touch a unit sphere in nn dimensions is called kissing number. The problem for finding kissing numbers is closely connected to the more general problems of finding bounds for spherical codes and sphere packings. We survey old and recent results on the kissing numbers keeping the generality of spherical codes.

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Cite

@article{arxiv.1507.03631,
  title  = {A survey on the kissing numbers},
  author = {Peter Boyvalenkov and Stefan Dodunekov and Oleg R. Musin},
  journal= {arXiv preprint arXiv:1507.03631},
  year   = {2015}
}

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15 pages