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.