Polynomial Classification Algorithm for Solutions of the Thomson Problem

This paper deals with determining the equivalence of solutions of the Thomson problem using their geometric structure. A polynomial complexity classification algorithm is developed for the solutions. Results of numerical experiments are presented.

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Bibliographic Details
Published in:Journal of applied and industrial mathematics 2022-05, Vol.16 (2), p.189-202
Main Authors: Fadeev, S. A., Dedok, V. A., Bondarenko, A. N.
Format: Article
Language:English
Subjects:
Algorithms
Classification
Mathematics
Mathematics and Statistics
Polynomials
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Description
Summary:This paper deals with determining the equivalence of solutions of the Thomson problem using their geometric structure. A polynomial complexity classification algorithm is developed for the solutions. Results of numerical experiments are presented.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478922020028