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Applying mod-k-cuts for solving linear ordering problems
Authors:M Oswald  G Reinelt  H Seitz
Institution:(1) Institute of Computer Science, University of Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany
Abstract:The linear ordering problem consists of finding an ordering of the nodes of the weighted complete digraph on n nodes such that the sum of the weights of the arcs compatible with the ordering is maximized. In this paper, we report about the usefulness of mod-k cuts in a branch-and-cut algorithm for solving linear ordering problems to optimality.
Keywords:Linear ordering problem  Branch-and-cut  Mod-k cuts
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