Geodesic
Algorithms and methods for solving scheduling problems and other extremum problems on large-scale graphs
Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 235-251.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider a large-scale directed graph $G=(V,E)$ whose edges are endowed with a family of characteristics. A subset of vertices of the graph, $V'\subset V$, is selected and some additional conditions are imposed on these vertices. An algorithm for reducing the optimization problem on the graph $G$ to an optimization problem on the graph $G'=(V',E')$ of a lower dimension is developed. The main steps of the solution and some methods for constructing an approximate solution to the problem on the transformed graph $G'$ are presented. 
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E. V. Pankratiev; A. M. Chepovskii; E. A. Cherepanov; S. V. Chernyshev. Algorithms and methods for solving scheduling problems and other extremum problems on large-scale graphs. Fundamentalʹnaâ i prikladnaâ matematika, Tome 9 (2003) no. 1, pp. 235-251. http://geodesic.mathdoc.fr/item/FPM_2003_9_1_a13/

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