Using Critical Sets for the Maximum Independent Set Problem Solving
نویسندگان
چکیده
The problem of finding a maximum independent set in an undirected graph is a well known NP-hard problem. On the other hand, the critical independent set problem is polynomially solvable. The relationship between these two problems is studied and a method that utilizes a nonempty critical independent set for solving the maximum independent set problem is developed. The efficiency of the proposed approach is demonstrated through extensive numerical experiments on large-scale graphs with large independence number.
منابع مشابه
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.
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تاریخ انتشار 2005