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arxiv: 1106.3349 · v1 · pith:2VENPSMJnew · submitted 2011-06-16 · 💻 cs.DM

Polyhedral results for the Equitable Coloring Problem

classification 💻 cs.DM
keywords inequalitiescoloringequitableproblemalgorithmassociatedbranchcomputational
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In this work we study the polytope associated with a 0/1 integer programming formulation for the Equitable Coloring Problem. We find several families of valid inequalities and derive sufficient conditions in order to be facet-defining inequalities. We also present computational evidence of the effectiveness of including these inequalities as cuts in a Branch & Cut algorithm.

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