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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 5, Pages 37–45 (Mi da623)  
This article is cited in 40 scientific papers (total in 40 papers)

NP-completeness of some problems of a vectors subset choice

A. V. Kel'manovab, A. V. Pyatkinab

a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (238 kB) Citations (40)
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Abstract: One of the problem in data analysis reduces to problems of a vectors subset selection. The NP-completeness of these problems is proved. These problems are connected with searching a vector subset in a given set in Euclidian space under following conditions. The first condition is that the required subset has a given cardinality, and the second one is that this subset includes vectors which are close to each other under the criterion of minimum sum of squared distances. Bibliogr. 13.
Keywords: choice of a vector subset, clustering, algorithmic complexity, NP-completeness.
Received: 12.04.2010
Revised: 06.07.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 3, Pages 352–357
DOI: https://doi.org/10.1134/S1990478911030069
Bibliographic databases:
Document Type: Article
UDC: 519.2+621.391
Language: Russian
Citation: A. V. Kel'manov, A. V. Pyatkin, “NP-completeness of some problems of a vectors subset choice”, Diskretn. Anal. Issled. Oper., 17:5 (2010), 37–45; J. Appl. Industr. Math., 5:3 (2011), 352–357
Citation in format AMSBIB
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\by A.~V.~Kel'manov, A.~V.~Pyatkin
\paper NP-completeness of~some problems of a~vectors subset choice
\jour Diskretn. Anal. Issled. Oper.
\yr 2010
\vol 17
\issue 5
\pages 37--45
\mathnet{http://mi.mathnet.ru/da623}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2779350}
\zmath{https://zbmath.org/?q=an:1249.68080}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 3
\pages 352--357
\crossref{https://doi.org/10.1134/S1990478911030069}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052019433}
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    • This publication is cited in the following 40 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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