Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


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}
Linking options:
  • https://www.mathnet.ru/eng/timm593
  • 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
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024