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Haute école de gestion de Genève

A constructive algorithm for realizing a distance matrix

Varone, Sacha

In: European Journal of Operational Research

The natural metric of a weighted graph is the length of the shortest paths between all pairs of vertices. The investigated problem consists in a representation of a given metric by a graph, such that the total length of the graph is minimized. For that purpose, we give a constructive algorithm based on a technique of reduction, fusion and deletion. We then show some results on a set of various...