Facets of the Graph Coloring Polytope |
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Authors: | Pablo Coll Javier Marenco Isabel Méndez Díaz Paula Zabala |
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Institution: | (1) Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, C1428BGA Buenos Aires, Argentina |
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Abstract: | In this paper we present a study of the polytope associated to a classic linear integer programming formulation of the graph coloring problem. We determine some families of facets. This is the initial step for the development of a branch-and-cut algorithm to solve large instances of the graph coloring problem. |
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Keywords: | graph coloring integer programming facets of polyhedra |
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