Using critical sets to solve the maximum independent set problem

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. Key words: Maximum independent set, critical set, large-scale discrete optimization

• Type: Journal
• Year: 2007
• Where: ORL
• Authors: Sergiy Butenko, Svyatoslav Trukhanov
• Keywords: Critical Independent Set, Critical Set, Large Independence Number, ORL 2007