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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 402, Pages 69–82 (Mi znsl5238)  
This article is cited in 5 scientific papers (total in 5 papers)

Upper and lower bounds for Grigoriev's algorithm for solving integral tropical linear systems

A. P. Davydow

Academic University, St. Petersburg, Russia
Full-text PDF (214 kB) Citations (5)
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Abstract: We investigate an algorithm for solving integral tropical linear systems proposed by D. Yu. Grigoriev in 2010, We give the first nonpolynominal lower bound on time complexity of the algorithm, and also improve known upper bound.
Key words and phrases: tropical lineear systems, Grigoriev's algorithm.
Received: 03.09.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 3, Pages 295–302
DOI: https://doi.org/10.1007/s10958-013-1395-5
Bibliographic databases:
Document Type: Article
UDC: 519.612
Language: Russian
Citation: A. P. Davydow, “Upper and lower bounds for Grigoriev's algorithm for solving integral tropical linear systems”, Combinatorics and graph theory. Part IV, RuFiDiM'11, Zap. Nauchn. Sem. POMI, 402, POMI, St. Petersburg, 2012, 69–82; J. Math. Sci. (N. Y.), 192:3 (2013), 295–302
Citation in format AMSBIB
\Bibitem{Dav12}
\by A.~P.~Davydow
\paper Upper and lower bounds for Grigoriev's algorithm for solving integral tropical linear systems
\inbook Combinatorics and graph theory. Part~IV
\bookinfo RuFiDiM'11
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 402
\pages 69--82
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2981979}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 3
\pages 295--302
\crossref{https://doi.org/10.1007/s10958-013-1395-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884985521}
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  • https://www.mathnet.ru/eng/znsl/v402/p69
    • 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
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