A genetic algorithm approach to the maximum independent set problem

The results obtained from the application of a genetic algorithm to the NP-complete maximum independent set problem are reported in this work. In contrast to many other genetic algorithm-based approaches that use domain-specific knowledge, the approach presented here relies on a graded penalty term component of the objective function to penalize infeasible solutions. The method is applied to several large problem instances of the maximum independent set problem, and the results clearly indicate that genetic algorithms can be successfully used as heuristics for finding good approximate solutions for this highly constrained optimization problem.