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Diskretnyi Analiz i Issledovanie Operatsii, 2009, Volume 16, Issue 6, Pages 68–73
(Mi da595)
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This article is cited in 11 scientific papers (total in 11 papers)
On the complexity of the maximum sum length vectors subset choice problem
A. V. Pyatkinab a S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
The maximum sum length vectors subset choice problem is considered. In the case of the fixed dimension of the space this problem is polynomially solvable. It is proved that the problem is NP-hard if the dimension of the space is a part of input. Bibl. 6.
Keywords:
vectors sum problem, complexity, NP-completeness.
Received: 04.08.2009
Citation:
A. V. Pyatkin, “On the complexity of the maximum sum length vectors subset choice problem”, Diskretn. Anal. Issled. Oper., 16:6 (2009), 68–73; J. Appl. Industr. Math., 4:4 (2010), 549–552
Linking options:
https://www.mathnet.ru/eng/da595 https://www.mathnet.ru/eng/da/v16/i6/p68
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