Kissing number (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Kissing number" in English language version.

refsWebsite

Global rank English rank

7doi.org

2^nd place

4semanticscholar.org

11^th place

8^th place

3arxiv.org

69^th place

59^th place

3ams.org

451^st place

277^th place

2books.google.com

3^rd place

2harvard.edu

18^th place

17^th place

1wolfram.com

513^th place

537^th place

1uni-augsburg.de

9,325^th place

9,314^th place

ams.org

Pfender, Florian; Ziegler, Günter M. (September 2004). "Kissing numbers, sphere packings, and some unexpected proofs" (PDF). Notices of the American Mathematical Society: 873–883..
Lagarias, Jeffrey C.; Zong, Chuanming (December 2012). "Mysteries in packing regular tetrahedra" (PDF). Notices of the American Mathematical Society: 1540–1549.

mathscinet.ams.org

Zong, Chuanming (2008). "The kissing number, blocking number and covering number of a convex body". In Goodman, Jacob E.; Pach, J├ínos; Pollack, Richard (eds.). Surveys on Discrete and Computational Geometry: Twenty Years Later (AMS-IMS-SIAM Joint Summer Research Conference, June 18ÔÇô22, 2006, Snowbird, Utah). Contemporary Mathematics. Vol. 453. Providence, RI: American Mathematical Society. pp. 529–548. doi:10.1090/conm/453/08812. ISBN 9780821842393. MR 2405694..

arxiv.org

Mittelmann, Hans D.; Vallentin, Frank (2010). "High accuracy semidefinite programming bounds for kissing numbers". Experimental Mathematics. 19 (2): 174–178. arXiv:0902.1105. Bibcode:2009arXiv0902.1105M. doi:10.1080/10586458.2010.10129070. S2CID 218279.
See also Lemma 3.1 in Marathe, M. V.; Breu, H.; Hunt, H. B.; Ravi, S. S.; Rosenkrantz, D. J. (1995). "Simple heuristics for unit disk graphs". Networks. 25 (2): 59. arXiv:math/9409226. doi:10.1002/net.3230250205.
Machado, Fabrício C.; Oliveira, Fernando M. (2018). "Improving the Semidefinite Programming Bound for the Kissing Number by Exploiting Polynomial Symmetry". Experimental Mathematics. 27 (3): 362–369. arXiv:1609.05167. doi:10.1080/10586458.2017.1286273. S2CID 52903026.

books.google.com

Conway, John H.; Neil J.A. Sloane (1999). Sphere Packings, Lattices and Groups (3rd ed.). New York: Springer-Verlag. p. 21. ISBN 0-387-98585-9.
Brass, Peter; Moser, W. O. J.; Pach, János (2005). Research problems in discrete geometry. Springer. p. 93. ISBN 978-0-387-23815-9.

doi.org

Mittelmann, Hans D.; Vallentin, Frank (2010). "High accuracy semidefinite programming bounds for kissing numbers". Experimental Mathematics. 19 (2): 174–178. arXiv:0902.1105. Bibcode:2009arXiv0902.1105M. doi:10.1080/10586458.2010.10129070. S2CID 218279.
See also Lemma 3.1 in Marathe, M. V.; Breu, H.; Hunt, H. B.; Ravi, S. S.; Rosenkrantz, D. J. (1995). "Simple heuristics for unit disk graphs". Networks. 25 (2): 59. arXiv:math/9409226. doi:10.1002/net.3230250205.
Zong, Chuanming (2008). "The kissing number, blocking number and covering number of a convex body". In Goodman, Jacob E.; Pach, J├ínos; Pollack, Richard (eds.). Surveys on Discrete and Computational Geometry: Twenty Years Later (AMS-IMS-SIAM Joint Summer Research Conference, June 18ÔÇô22, 2006, Snowbird, Utah). Contemporary Mathematics. Vol. 453. Providence, RI: American Mathematical Society. pp. 529–548. doi:10.1090/conm/453/08812. ISBN 9780821842393. MR 2405694..
O. R. Musin (2003). "The problem of the twenty-five spheres". Russ. Math. Surv. 58 (4): 794–795. Bibcode:2003RuMaS..58..794M. doi:10.1070/RM2003v058n04ABEH000651. S2CID 250839515.
Odlyzko, A. M.; Sloane, N. J. A. (1979). "New bounds on the number of unit spheres that can touch a unit sphere in n dimensions". Journal of Combinatorial Theory. Series A. 26 (2): 210–214. doi:10.1016/0097-3165(79)90074-8.
Machado, Fabrício C.; Oliveira, Fernando M. (2018). "Improving the Semidefinite Programming Bound for the Kissing Number by Exploiting Polynomial Symmetry". Experimental Mathematics. 27 (3): 362–369. arXiv:1609.05167. doi:10.1080/10586458.2017.1286273. S2CID 52903026.
Kammer, Frank; Tholey, Torsten (July 2012). "Approximation Algorithms for Intersection Graphs". Algorithmica. 68 (2): 312–336. doi:10.1007/s00453-012-9671-1. S2CID 3065780.

harvard.edu

ui.adsabs.harvard.edu

Mittelmann, Hans D.; Vallentin, Frank (2010). "High accuracy semidefinite programming bounds for kissing numbers". Experimental Mathematics. 19 (2): 174–178. arXiv:0902.1105. Bibcode:2009arXiv0902.1105M. doi:10.1080/10586458.2010.10129070. S2CID 218279.
O. R. Musin (2003). "The problem of the twenty-five spheres". Russ. Math. Surv. 58 (4): 794–795. Bibcode:2003RuMaS..58..794M. doi:10.1070/RM2003v058n04ABEH000651. S2CID 250839515.

semanticscholar.org

api.semanticscholar.org

Mittelmann, Hans D.; Vallentin, Frank (2010). "High accuracy semidefinite programming bounds for kissing numbers". Experimental Mathematics. 19 (2): 174–178. arXiv:0902.1105. Bibcode:2009arXiv0902.1105M. doi:10.1080/10586458.2010.10129070. S2CID 218279.
O. R. Musin (2003). "The problem of the twenty-five spheres". Russ. Math. Surv. 58 (4): 794–795. Bibcode:2003RuMaS..58..794M. doi:10.1070/RM2003v058n04ABEH000651. S2CID 250839515.
Machado, Fabrício C.; Oliveira, Fernando M. (2018). "Improving the Semidefinite Programming Bound for the Kissing Number by Exploiting Polynomial Symmetry". Experimental Mathematics. 27 (3): 362–369. arXiv:1609.05167. doi:10.1080/10586458.2017.1286273. S2CID 52903026.
Kammer, Frank; Tholey, Torsten (July 2012). "Approximation Algorithms for Intersection Graphs". Algorithmica. 68 (2): 312–336. doi:10.1007/s00453-012-9671-1. S2CID 3065780.

uni-augsburg.de

opus.bibliothek.uni-augsburg.de

Kammer, Frank; Tholey, Torsten (July 2012). "Approximation Algorithms for Intersection Graphs". Algorithmica. 68 (2): 312–336. doi:10.1007/s00453-012-9671-1. S2CID 3065780.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Kissing Number". MathWorld.