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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)
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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}
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    • 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
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    References:58
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