A survey on the kissing numbers
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Publication:5261748
zbMath1324.52013arXiv1507.03631MaRDI QIDQ5261748
O. Musin, P. G. Boyvalenkov, Stefan Dodunekov
Publication date: 7 July 2015
Full work available at URL: https://arxiv.org/abs/1507.03631
Linear programming (90C05) Bounds on codes (94B65) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02)
Related Items (16)
On kissing numbers and spherical codes in high dimensions ⋮ On an SDP relaxation for kissing number ⋮ ON CONTACT NUMBERS OF LOCALLY SEPARABLE UNIT SPHERE PACKINGS ⋮ Delsarte’s extremal problem and packing on locally compact Abelian groups ⋮ Tammes problem and contact number for spheres in spaces of constant curvature ⋮ A New Sequential Optimality Condition for Constrained Nonsmooth Optimization ⋮ Upper bounds for energies of spherical codes of given cardinality and separation ⋮ Extremal problems of circle packings on a sphere and irreducible contact graphs ⋮ Enumeration of irreducible contact graphs on the sphere ⋮ Towards a proof of the 24-cell conjecture ⋮ Analogs of Steiner's porism and Soddy's hexlet in higher dimensions via spherical codes ⋮ On contact graphs of totally separable packings in low dimensions ⋮ Antipodal Hadwiger numbers of finite-dimensional Banach spaces ⋮ Online unit covering in Euclidean space ⋮ On contact graphs of totally separable domains ⋮ Kissing numbers for balls with varying radii
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