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cs.IT2017
Stability of optimal spherical codes
Károly J. Böröczky, Alexey Glazyrin
For many extremal configurations of points on a sphere, the linear programming approach can be used to show their optimality. In this paper we establish the general framework for s…
math.MG2017
Stability of the simplex bound for packings by equal spherical caps determined by simplicial regular polytopes
Károly Böröczky, Károly J. Böröczky, Alexey Glazyrin +1
It is well known that the vertices of any Euclidean simplicial regular polytope determine an optimal packing of equal spherical balls. We prove a stability version of optimal order…