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Diskretnaya Matematika, 2001, Volume 13, Issue 2, Pages 120–143
DOI: https://doi.org/10.4213/dm282 (Mi dm282) 		 
This article is cited in 11 scientific papers (total in 11 papers)

On noninteger vertices of the polytope of the three-index axial assignment problem

M. K. Kravtsov, V. M. Kravtsov, E. V. Lukshin
Full-text PDF (2060 kB) Citations (11)
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DOI: https://doi.org/10.4213/dm282
Abstract: We consider non-integer vertices of the polytope of three-index axial assignment problem. In particular, rather sharp lower bounds are obtained, as well as some formulas to count $r$-non-integer vertices of the polytope, i.e., the vertices with exactly $r$ non-integer components.
This research was supported by the Byelorussian Republican Foundation for Basic Research, grant $\Phi$97–266.
Received: 17.05.1999
Bibliographic databases:
UDC: 519.10
Language: Russian
Citation: M. K. Kravtsov, V. M. Kravtsov, E. V. Lukshin, “On noninteger vertices of the polytope of the three-index axial assignment problem”, Diskr. Mat., 13:2 (2001), 120–143; Discrete Math. Appl., 11:3 (2001), 303–323
Citation in format AMSBIB
\Bibitem{KraKraLuk01}
\by M.~K.~Kravtsov, V.~M.~Kravtsov, E.~V.~Lukshin
\paper On noninteger vertices of the polytope of the three-index axial assignment problem
\jour Diskr. Mat.
\yr 2001
\vol 13
\issue 2
\pages 120--143
\mathnet{http://mi.mathnet.ru/dm282}
\crossref{https://doi.org/10.4213/dm282}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1857730}
\zmath{https://zbmath.org/?q=an:1134.90549}
\transl
\jour Discrete Math. Appl.
\yr 2001
\vol 11
\issue 3
\pages 303--323
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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