Fundamentalnaya i Prikladnaya Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Fundam. Prikl. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 2, Pages 105–118 (Mi fpm1502)  
This article is cited in 8 scientific papers (total in 8 papers)

The common face of some $0/1$-polytopes with NP-complete nonadjacency relation

A. N. Maksimenko

P. G. Demidov Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (184 kB) Citations (8)
References:
PDF
HTML
Abstract: In this paper, we consider so-called double covering polytopes. In 1995, Matsui showed that the problem of checking nonadjacency on these polytopes is NP-complete. We show that double covering polytopes are faces of the following polytopes: knapsack polytopes, set covering polytopes, cubic subgraph polytopes, $3$-SAT polytopes, partial order polytopes, traveling salesman polytopes, and some others.
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 203, Issue 6, Pages 823–832
DOI: https://doi.org/10.1007/s10958-014-2172-9
Bibliographic databases:
Document Type: Article
UDC: 519.854.2+519.161
Language: Russian
Citation: A. N. Maksimenko, “The common face of some $0/1$-polytopes with NP-complete nonadjacency relation”, Fundam. Prikl. Mat., 18:2 (2013), 105–118; J. Math. Sci., 203:6 (2014), 823–832
Citation in format AMSBIB
\Bibitem{Mak13}
\by A.~N.~Maksimenko
\paper The common face of some $0/1$-polytopes with NP-complete nonadjacency relation
\jour Fundam. Prikl. Mat.
\yr 2013
\vol 18
\issue 2
\pages 105--118
\mathnet{http://mi.mathnet.ru/fpm1502}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431788}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 6
\pages 823--832
\crossref{https://doi.org/10.1007/s10958-014-2172-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84922076244}
Linking options:
  • https://www.mathnet.ru/eng/fpm1502
  • https://www.mathnet.ru/eng/fpm/v18/i2/p105
    • 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
    		Фундаментальная и прикладная математика
    Statistics & downloads:
    Abstract page:287
    Full-text PDF :123
    References:52
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024