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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 125–145
(Mi fpm1504)
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This article is cited in 5 scientific papers (total in 5 papers)
Enumeration of irreducible contact graphs on the sphere
O. R. Musinab, A. S. Tarasova a Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia
b University of Texas at Brownsville, Brownsville, Texas, USA
Abstract:
In this article, using the computer, are enumerated all locally-rigid packings by $N$ congruent circles (spherical caps) on the unit sphere $\mathbb S^2$ with $N<12$. This is equivalent to the enumeration of irreducible spherical contact graphs.
Citation:
O. R. Musin, A. S. Tarasov, “Enumeration of irreducible contact graphs on the sphere”, Fundam. Prikl. Mat., 18:2 (2013), 125–145; J. Math. Sci., 203:6 (2014), 837–850
Linking options:
https://www.mathnet.ru/eng/fpm1504 https://www.mathnet.ru/eng/fpm/v18/i2/p125
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Statistics & downloads: |
Abstract page: | 422 | Full-text PDF : | 160 | References: | 57 | First page: | 1 |
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