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math.MG2020
On contact numbers of locally separable unit sphere packings
Károly Bezdek
The contact number of a packing of finitely many balls in Euclidean -space is the number of touching pairs of balls in the packing. A prominent subfamily of sphere packings is f…
math.MG2015
On contact numbers of totally separable unit sphere packings
Karoly Bezdek, Balazs Szalkai, Istvan Szalkai
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-…