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Sibirskii Zhurnal Industrial'noi Matematiki, 2022, Volume 25, Number 2, Pages 110–126
DOI: https://doi.org/10.33048/SIBJIM.2021.25.208 (Mi sjim1175) 		 
Polynomial classification algorithm of the Thomson problem solutions

S. A. Fadeeva, V. A. Dedokba, A. N. Bondarenko

a Novosibirsk State University, ul. Pirogova 1, Novosibirsk 630090, Russia
b Sobolev Institute of Mathematics SB RAS, pr. Acad. Koptyuga 4, Novosibirsk 630090, Russia
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DOI: https://doi.org/10.33048/SIBJIM.2021.25.208
Abstract: This paper is devoted to the question of determining the equivalence of solutions of the Thomson problem using their geometric structure. The algorithm for classifying solutions with polynomial complexity was developed. The results of numerical experiments are presented.
Keywords: Thomson problem, equilibrium configurations, weighted graphs isomorphism. .
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0009
Received: 17.11.2021
Revised: 10.01.2022
Accepted: 13.01.2022
Document Type: Article
UDC: 519.168
Language: Russian
Citation: S. A. Fadeev, V. A. Dedok, A. N. Bondarenko, “Polynomial classification algorithm of the Thomson problem solutions”, Sib. Zh. Ind. Mat., 25:2 (2022), 110–126
Citation in format AMSBIB
\Bibitem{FadDedBon22}
\by S.~A.~Fadeev, V.~A.~Dedok, A.~N.~Bondarenko
\paper Polynomial classification algorithm of the Thomson problem solutions
\jour Sib. Zh. Ind. Mat.
\yr 2022
\vol 25
\issue 2
\pages 110--126
\mathnet{http://mi.mathnet.ru/sjim1175}
\crossref{https://doi.org/10.33048/SIBJIM.2021.25.208}
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