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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 125–145 (Mi fpm1504)  
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
Full-text PDF (387 kB) Citations (5)
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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.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 203, Issue 6, Pages 837–850
DOI: https://doi.org/10.1007/s10958-014-2174-7
Bibliographic databases:
Document Type: Article
UDC: 514.17
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MusTar13}
\by O.~R.~Musin, A.~S.~Tarasov
\paper Enumeration of irreducible contact graphs on the sphere
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 2
\pages 125--145
\mathnet{http://mi.mathnet.ru/fpm1504}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431790}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 6
\pages 837--850
\crossref{https://doi.org/10.1007/s10958-014-2174-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922079206}
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  • https://www.mathnet.ru/eng/fpm/v18/i2/p125
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :160
    References:57
    First page:1
     
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