21 citations · 32 across the 17 of their papers we have counts for
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math.MG2015★ 21 cited
A survey on the kissing numbers
Peter Boyvalenkov, Stefan Dodunekov, Oleg R. Musin
The maximum possible number of non-overlapping unit spheres that can touch a unit sphere in dimensions is called kissing number. The problem for finding kissing numbers is clos…
math.MG2015★ 3 cited
Universal lower bounds for potential energy of spherical codes
P. G. Boyvalenkov, P. D. Dragnev, D. P. Hardin +2
We derive and investigate lower bounds for the potential energy of finite spherical point sets (spherical codes). Our bounds are optimal in the following sense -- they cannot be im…