On the p-Median Polytope and the Directed Odd Cycle Inequalities II: Oriented Graphs

This is the second part of a study of the odd directed cycle inequalities in the description of the polytope associated with the p-median problem. We treat oriented graphs, i.e., if (u, v) is in the arc-set, then (v, u) is not in the arc-set. We characterize the oriented graphs for which the obvious linear relaxation together with the directed odd cycle inequalities describe the p-median polytope. In the first part [2], we treated triangle-free graphs, this is the first step for an induction on the number of triangles used in the present paper to treat general oriented graphs.

By: Mourad Baïou, Francisco Barahona

Published in: RC25421 in 2013


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