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Polynomial Classification Algorithm for Solutions of the Thomson Problem Full article

Journal Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797
Output data Year: 2022, Volume: 16, Number: 2, Pages: 189-202 Pages count : 14 DOI: 10.1134/S1990478922020028
Tags equilibrium configuration; Thomson problem; weighted graph isomorphism
Authors Fadeev S.A. 1 , Dedok V.A. 1,2 , Bondarenko A.N. 1
Affiliations
1 Novosibirsk State University, Novosibirsk, 630090, Russian Federation
2 Sobolev Institute of Mathematics, Siberian Branch, Russian Academy ofSciences, Novosibirsk, 630090, Russian Federation

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0009

Abstract: Abstract: This paper deals with determining the equivalence of solutions of the Thomson problemusing their geometric structure. A polynomial complexity classification algorithm is developed forthe solutions. Results of numerical experiments are presented. © 2022, Pleiades Publishing, Ltd.
Cite: Fadeev S.A. , Dedok V.A. , Bondarenko A.N.
Polynomial Classification Algorithm for Solutions of the Thomson Problem
Journal of Applied and Industrial Mathematics. 2022. V.16. N2. P.189-202. DOI: 10.1134/S1990478922020028 Scopus РИНЦ OpenAlex
Original: Фадеев С.А. , Дедок В.А. , Бондаренко А.Н.
Полиномиальный алгоритм классификации решений задачи Томсона
Сибирский журнал индустриальной математики. 2022. Т.25. №2. С.110-126. DOI: 10.33048/SIBJIM.2022.25.208 РИНЦ
Dates:
Submitted: Feb 19, 2021
Accepted: Dec 2, 2021
Published online: Nov 15, 2022
Published print: Dec 2, 2022
Identifiers:
Scopus: 2-s2.0-85141911876
Elibrary: 51743664
OpenAlex: W4312833951
Citing:
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