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Using critical sets to solve the maximum independent set problem
Authors:Sergiy Butenko  Svyatoslav Trukhanov
Institution:Department of Industrial and Systems Engineering, Texas A&M University, College Station, Texas, USA
Abstract:A method that utilizes the polynomially solvable critical independent set problem for solving the maximum independent set problem on graphs with a nonempty critical independent set is developed. The effectiveness of the proposed approach on large graphs with large independence number is demonstrated through extensive numerical experiments.
Keywords:Maximum independent set  Critical set  Large-scale discrete optimization
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