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arXiv · 1411.6283

On the polyhedron of the K-partitioning problem with representative variables

Zacharie Ales·Arnaud Knippel·Alexandre Pauchet
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Abstract

The K-partitioning problem consists of partitioning the vertices of a graph in K sets so as to minimize a function of the edge weights. We introduce a linear mixed integer formulation with edge variables and representative variables. We consider the corresponding polyhedron and show which inequalities are facet-defining. We study several families of facet-defining inequalities and provide experimental results showing that they improve significantly the linear relaxation of our formulation.

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Zacharie Ales, Arnaud Knippel, Alexandre Pauchet. 2014-11-23. On the polyhedron of the K-partitioning problem with representative variables. https://arxiv.org/abs/1411.6283

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