Fetching the paper…
Reading the bibliography…
The kissing number in n-dimensional Euclidean space is the maximal number of non-overlapping unit spheres which simultaneously can touch a central unit sphere.
K. Schütte, B.L. van der Waerden, Das Problem der dreizehn Kugeln
1953
Earlier work this paper cites.
V.I. Levenshtein, On bounds for packing in n n -dimensional Euclidean space
1979
Earlier work this paper cites.
A.M. Odlyzko, N.J.A. Sloane, New bounds on the number of unit spheres that can touch a unit sphere in n dimensions
1979
Earlier work this paper cites.
P. Boyvalenkov, Small improvements of the upper bounds of the kissing numbers in dimensions 19 19 , 21 21 and 23 23
1994
Earlier work this paper cites.
J.H. Conway, N.J.A. Sloane, Sphere packings, lattices and groups
1999
Earlier work this paper cites.
R. Scharlau, R. Schulze-Pillot, Extremal lattices
1999
Earlier work this paper cites.
N.D. Elkies, Lattices, linear codes, and invariants, Part I/II
2000
Cited alongside, same era.
H.D. Mittelmann, An independent benchmarking of SDP and SOCP solvers
2003
Cited alongside, same era.
F. Bowert, Gewichtszähler und Distanzzähler von Codes und Kugelpackungen
2004
Cited alongside, same era.
B. Casselman, The difficulties of kissing in three dimensions
2004
Cited alongside, same era.
F. Pfender, G.M. Ziegler, Kissing numbers, sphere packings and some unexpected proofs
2004
Cited alongside, same era.
H. Cohn, J.H. Conway, N.D. Elkies, A. Kumar, The D 4 D_{4} root system is not universally optimal
2007
Later among the works it cites.
F. Pfender, Improved Delsarte bounds for spherical codes in small dimensions
2007
Later among the works it cites.
C. Bachoc, F. Vallentin, New upper bounds for kissing numbers from semidefinite programming
2008
Later among the works it cites.
K. Fujisawa, M. Fukuda, K. Kobayashi, M. Kojima, K. Nakata, M. Nakata, M. Yamashita, SDPA (SemiDefinite Programming Algorithm) and SDPA-GMP user’s manual — version 7.1.1
2008
Later among the works it cites.
O.R. Musin, The kissing number in four dimensions
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…