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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1908–1912 (Mi zvmmf407)  

This article is cited in 3 scientific papers (total in 3 papers)

Description of the types of maximum noninteger vertices of the polyhedron in the three-index axial assignment problem

V. M. Kravtsov

Belarussian State University, pr. Nezavisimosti 4, Minsk, 220050, Belarus
Full-text PDF (688 kB) Citations (3)
References:
Abstract: For an arbitrary $r\in\{3n-4,3n-3,3n-2\}$, a description of all the types of $r$-noninteger vertices (i.e., the vertices with $r$ fractional components) of the polyhedron of the three-index axial assignment problem of order $n$ with $n\ge4$ is proposed.
Key words: polyhedron of the three-index axial assignment problem, $r$-noninteger vertex, maximum noninteger vertex, identification of vertex types.
Received: 27.01.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 10, Pages 1821–1825
DOI: https://doi.org/10.1134/S0965542506100174
Bibliographic databases:
Document Type: Article
UDC: 519.6:519.854
Language: Russian
Citation: V. M. Kravtsov, “Description of the types of maximum noninteger vertices of the polyhedron in the three-index axial assignment problem”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1908–1912; Comput. Math. Math. Phys., 46:10 (2006), 1821–1825
Citation in format AMSBIB
\Bibitem{Kra06}
\by V.~M.~Kravtsov
\paper Description of the types of maximum noninteger vertices of the polyhedron in the three-index axial assignment problem
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 10
\pages 1908--1912
\mathnet{http://mi.mathnet.ru/zvmmf407}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2304045}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 10
\pages 1821--1825
\crossref{https://doi.org/10.1134/S0965542506100174}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750366757}
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  • https://www.mathnet.ru/eng/zvmmf/v46/i10/p1908
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:214
    Full-text PDF :100
    References:33
    First page:1
     
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