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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2015 Volume 22, Issue 5, Pages 30–51 (Mi da827)

This article is cited in 9 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

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.

UDC: 519.8

Received: 16.02.2015

DOI: 10.17377/daio.2015.22.477


 English version:
Journal of Applied and Industrial Mathematics, 2015, 9:4, 527–539

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