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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 3, Pages 210–216 (Mi timm593)  

This article is cited in 2 scientific papers (total in 2 papers)

On the belonging of the problems MIN-PC and MASC-GP$(n)$ to the class of MAX-SNP-hard problems

M. I. Poberii

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (159 kB) Citations (2)
References:
Abstract: It is known that the problem on the minimal covering of a finite number of points in a plane by a set of straight lines (MIN-PC) and the problem on the minimal affine separating committee formulated in a space of fixed dimension (MASC-GP$(n)$) are NP-hard in the strong sense. We show that these problems are MAX-SNP-hard.
Keywords: computational complexity, strong NP-hardness, covering of points, affine committee.
Received: 22.03.2010
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: M. I. Poberii, “On the belonging of the problems MIN-PC and MASC-GP$(n)$ to the class of MAX-SNP-hard problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 3, 2010, 210–216
Citation in format AMSBIB
\Bibitem{Pob10}
\by M.~I.~Poberii
\paper On the belonging of the problems MIN-PC and MASC-GP$(n)$ to the class of MAX-SNP-hard problems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 3
\pages 210--216
\mathnet{http://mi.mathnet.ru/timm593}
\elib{https://elibrary.ru/item.asp?id=15173481}
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  • https://www.mathnet.ru/eng/timm/v16/i3/p210
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Full-text PDF :89
    References:43
    First page:2
     
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