paper

A polyhedral approach for the Equitable Coloring Problem

arXiv:1106.3348 · doi:10.1016/j.dam.2012.11.018

Abstract

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 that shows the efficacy of these inequalities used in a cutting-plane algorithm.