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An Evolutionary Approach to the Maximum Edge Weight Clique Problem

[ Vol. 11 , Issue. 3 ]

Author(s):

Dalila B.M.M. Fontes*, Jose Fernando Goncalves and Fernando A.C.C. Fontes   Pages 260 - 266 ( 7 )

Abstract:


Background: This work addresses the maximum edge weight clique problem (MEWC), an important generalization of the well-known maximum clique problem.

Methods: The MEWC problem can be used to model applications in many fields including broadband network design, computer vision, pattern recognition, and robotics. We propose a random key genetic algorithm to find good quality solutions for this problem. Computational experiments are reported for a set of benchmark problem instances derived from the DIMACS maximum clique instances.

Results: The results obtained show that our algorithm is both effective and efficient, as for most of the problem instances tested, we were able to match the best-known solutions with very small computational time requirements.

Keywords:

Genetic algorithms, network optimization, maximum clique, weight clique, genetic representation, genes.

Affiliation:

Faculdade de Economia and LIAAD-INESC TEC, Universidade do Porto, Porto, Faculdade de Economia and LIAAD-INESC TEC, Universidade do Porto, Porto, Faculdade de Engenharia and SYSTEC-ISR, Universidade do Porto, Porto

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