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A new family of facet defining inequalities for the maximum edge-weighted clique problem

Franklin Djeumou Fomeni (franklin***at***aims.ac.za)

Abstract: This paper considers a family of cutting planes, recently developed for mixed 0-1 polynomial programs and shows that they define facets for the maximum edge-weighted clique problem. There exists a polynomial time exact separation algorithm for these in- equalities. The result of this paper may contribute to the development of more efficient algorithms for the maximum edge-weighted clique problem that use cutting planes.

Keywords: Edge-weighted clique problem, Cutting planes, Separation algorithm, In- teger programming, Boolean quadric polytope, facet defining inequalities.

Category 1: Integer Programming (Cutting Plane Approaches )

Category 2: Integer Programming (0-1 Programming )

Category 3: Combinatorial Optimization

Citation: Cahiers du GERAD, G-2015-71. Polytechnique Montreal - GERAD

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Entry Submitted: 08/31/2015
Entry Accepted: 08/31/2015
Entry Last Modified: 08/08/2017

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