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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 5, Pages 30–51
DOI: https://doi.org/10.17377/daio.2015.22.477 (Mi da827) 		 
This article is cited in 8 scientific papers (total in 8 papers)

A united approach to finding the stability radii in a multicriteria problem of a maximum cut

K. G. Kuzmin

Belarusian State University, 4 Nezavisimosti' Ave., 220030 Minsk, Belarus
Full-text PDF (320 kB) Citations (8)
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DOI: https://doi.org/10.17377/daio.2015.22.477
Abstract: A multicriteria variant of the maximum cut problem is considered. The lower and upper achievable bounds on the radii of various types of stability are obtained assuming that the Hölder metrics are set in the parameters space. It is shown that to calculate any of the stability radii is an intractable problem unless $\mathrm{P\ne NP}$. Bibliogr. 13.
Keywords: multi-objectiveness, graph cut, Pareto set, stability radius, Hölder metric, intractability.
Received: 16.02.2015
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 4, Pages 527–539
DOI: https://doi.org/10.1134/S1990478915040092
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: K. G. Kuzmin, “A united approach to finding the stability radii in a multicriteria problem of a maximum cut”, Diskretn. Anal. Issled. Oper., 22:5 (2015), 30–51; J. Appl. Industr. Math., 9:4 (2015), 527–539
Citation in format AMSBIB
\Bibitem{Kuz15}
\by K.~G.~Kuzmin
\paper A united approach to finding the stability radii in a~multicriteria problem of a~maximum cut
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 5
\pages 30--51
\mathnet{http://mi.mathnet.ru/da827}
\crossref{https://doi.org/10.17377/daio.2015.22.477}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3467238}
\elib{https://elibrary.ru/item.asp?id=24323027}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 4
\pages 527--539
\crossref{https://doi.org/10.1134/S1990478915040092}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    References:38
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