Kissing numbers for balls with varying radii

DOI10.1007/s00373-022-02587-8zbMath1502.05029OpenAlexW4308112727MaRDI QIDQ2093111

Horst Martini, Hiroshi Maehara

Publication date: 4 November 2022

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-022-02587-8

zbMATH Keywords

kissing numbersball packingspherical caps

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Combinatorial aspects of packing and covering (05B40)

Cites Work

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• Some geometric applications of the beta distribution
• Dense binary sphere packings
• On mixed sphere packings
• A few applications of negative-type inequalities
• On kissing numbers and spherical codes in high dimensions
• Average kissing numbers for non-congruent sphere packings
• Strange phenomena in convex and discrete geometry. Ed. by James J. Dudziak
• Optimization and decision science: methodologies and applications. ODS, Sorrento, Italy, September 4--7, 2017
• Contact numbers for sphere packings
• Research Problems in Discrete Geometry
• High-Accuracy Semidefinite Programming Bounds for Kissing Numbers
• The Kissing Numbers of Convex Bodies - A Brief Survey
• The problem of the twenty-five spheres
• A survey on the kissing numbers
• The Closest Packing of Spherical Caps in n Dimensions
• Geometry of cuts and metrics