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arxiv: 1501.07907 · v2 · pith:Z6DREGB4new · submitted 2015-01-30 · 🧮 math.MG

On contact numbers of totally separable unit sphere packings

classification 🧮 math.MG
keywords numberscontactseparabletotallyunitballscontactsd-space
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Contact numbers are natural extensions of kissing numbers. In this paper we give estimates for the number of contacts in a totally separable packing of n unit balls in Euclidean d-space for all n>1 and d>1.

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