【摘 要】
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Motivated by a previous work showing a new NP-complete decision problem,the Multistage graph Simple Path problem (MSP) possesses a novel polynomial-time heuristic algorithm,which has undergone extensi
【机 构】
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School of Computer Science,National University of Defence Technology,Changsha,Hunan,410073,China
【出 处】
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2014全国理论计算机科学学术年会
论文部分内容阅读
Motivated by a previous work showing a new NP-complete decision problem,the Multistage graph Simple Path problem (MSP) possesses a novel polynomial-time heuristic algorithm,which has undergone extensive test and always give the correct answer for all instances(more than 5×107) generated up to now,we further consider the the polynomial-time solutions for several NP-complete optimization problems,including maximum satisfiability,maximum independent set,maximum clique,and maximum three-dimensional matching.In this paper,we propose polynomial reductions from the decision version of these NP-complete optimization problems to the MSP problem.Thus plus the polynomial-time heuristic algorithm for the MSP problem,we obtain the polynomial-time heuristic algorithms for these NP-complete optimization problems respectively.Although there is no broad consensus with proving the correctness of the polynomial-time heuristic algorithm for the MSP problem,the good performance of the algorithm will convince us to believe that the new obtained heuristic algorithms for these NP-complete optimization problems will most probably find the optimal solution.
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