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Diskretnyi Analiz i Issledovanie Operatsii, 2011, Volume 18, Issue 5, Pages 3–10 (Mi da662)  
This article is cited in 1 scientific paper (total in 1 paper)

Multicriterial graph problems with MAXMIN criterion

V. G. Vizing

Odessa, Ukraine
Full-text PDF (242 kB) Citations (1)
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Abstract: $r$-Criterial problems for $r$-weighted graphs are considered $(r\geq2)$. Certain kinds of subgraphs are called admissible. To solve problem means to choose a Pareto optimal admissible subgraph from the complete set of alternatives (CSA). The main result of this paper is following. Suppose that a criterion, denoted by MAXMIN, requires maximization of the minimal first edges' weight of the admissible subgraph and there is an effective procedure constructing the CSA for a $(r-1)$-criterial problem without this MAXMIN criterion. Then the CSA for the initial $r$-criterial problem is created effectively. Bibliogr. 11.
Keywords: admissible subgraph, indicator of subgraph's quality, Pareto optimal subgraph.
Received: 17.05.2011
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 2, Pages 256–260
DOI: https://doi.org/10.1134/S1990478912020159
Bibliographic databases:
Document Type: Article
UDC: 519.718
Language: Russian
Citation: V. G. Vizing, “Multicriterial graph problems with MAXMIN criterion”, Diskretn. Anal. Issled. Oper., 18:5 (2011), 3–10; J. Appl. Industr. Math., 6:2 (2012), 256–260
Citation in format AMSBIB
\Bibitem{Viz11}
\by V.~G.~Vizing
\paper Multicriterial graph problems with MAXMIN criterion
\jour Diskretn. Anal. Issled. Oper.
\yr 2011
\vol 18
\issue 5
\pages 3--10
\mathnet{http://mi.mathnet.ru/da662}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2918326}
\zmath{https://zbmath.org/?q=an:1249.90303}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 2
\pages 256--260
\crossref{https://doi.org/10.1134/S1990478912020159}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861790301}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :143
    References:43
    First page:7
     
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