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Diskretnaya Matematika, 1998, Volume 10, Issue 4, Pages 61–81
DOI: https://doi.org/10.4213/dm445 (Mi dm445) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotics of multi-index axial transportation polytopes

M. K. Kravtsov, A. P. Krachkovskii
Full-text PDF (1605 kB) Citations (4)
DOI: https://doi.org/10.4213/dm445
Abstract: We consider the asymptotic behaviour of classes of multi-index axial transportation polyhedra as the order of the polyhedra grows. In particular, it is shown that as the order of the polyhedra grows, the ratio of the number of polyhedra with the maximal number of $k$-faces (for some $k$) to the total number of polyhedra tends to one.
This research is supported by the Foundation for Basic Research of Republic Byelorussia, \linebreak grant $\Phi$95–70.
Received: 22.05.1997
Bibliographic databases:
UDC: 519.10
Language: Russian
Citation: M. K. Kravtsov, A. P. Krachkovskii, “Asymptotics of multi-index axial transportation polytopes”, Diskr. Mat., 10:4 (1998), 61–81; Discrete Math. Appl., 8:6 (1998), 589–610
Citation in format AMSBIB
\Bibitem{KraKra98}
\by M.~K.~Kravtsov, A.~P.~Krachkovskii
\paper Asymptotics of multi-index axial transportation polytopes
\jour Diskr. Mat.
\yr 1998
\vol 10
\issue 4
\pages 61--81
\mathnet{http://mi.mathnet.ru/dm445}
\crossref{https://doi.org/10.4213/dm445}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1673127}
\zmath{https://zbmath.org/?q=an:0966.90086}
\transl
\jour Discrete Math. Appl.
\yr 1998
\vol 8
\issue 6
\pages 589--610
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  • https://www.mathnet.ru/eng/dm/v10/i4/p61
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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