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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
This work was carried out within the framework of the state order for the Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, project no. FWNF-2022-0009.
Received: 17.11.2021
Revised: 10.01.2022
Accepted: 13.01.2022
English version:
Journal of Applied and Industrial Mathematics, 2022, Volume 16, Issue 2, Pages 189–202
DOI: https://doi.org/10.1134/S1990478922020028
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; J. Appl. Industr. Math., 16:2 (2022), 189–202
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}
\transl
\jour J. Appl. Industr. Math.
\yr 2022
\vol 16
\issue 2
\pages 189--202
\crossref{https://doi.org/10.1134/S1990478922020028}
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