Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 8, Pages 34–42 (Mi ivm8729)  
This article is cited in 5 scientific papers (total in 5 papers)

An analog of the Cook theorem for polytopes

A. N. Maksimenko

Chair of Discrete Analysis, Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (197 kB) Citations (5)
References:
PDF
HTML
Abstract: We prove that the polytope $M$ of any combinatorial optimization problem with a linear objective function is an affine image of a face of the cut polytope whose dimension is polynomial with respect to the dimension of $M$.
Keywords: combinatorial optimization, cut polytope, knapsack polytope, faces, polynomial reducibility of problems.
Received: 28.06.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 8, Pages 28–34
DOI: https://doi.org/10.3103/S1066369X1208004X
Bibliographic databases:
Document Type: Article
UDC: 519.854
Language: Russian
Citation: A. N. Maksimenko, “An analog of the Cook theorem for polytopes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 8, 34–42; Russian Math. (Iz. VUZ), 56:8 (2012), 28–34
Citation in format AMSBIB
\Bibitem{Mak12}
\by A.~N.~Maksimenko
\paper An analog of the Cook theorem for polytopes
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 8
\pages 34--42
\mathnet{http://mi.mathnet.ru/ivm8729}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3077485}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 8
\pages 28--34
\crossref{https://doi.org/10.3103/S1066369X1208004X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866256976}
Linking options:
  • https://www.mathnet.ru/eng/ivm8729
  • https://www.mathnet.ru/eng/ivm/y2012/i8/p34
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025