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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2011 Volume 18, Issue 5, Pages 3–10 (Mi da662)

This article is cited in 1 paper

Multicriterial graph problems with MAXMIN criterion

V. G. Vizing

Odessa, Ukraine

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.

UDC: 519.718

Received: 17.05.2011


 English version:
Journal of Applied and Industrial Mathematics, 2012, 6:2, 256–260

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