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Journal of Computer Science and Technology

, Volume 19, Issue 4, pp 450–458 | Cite as

Time complexity analysis of an evolutionary algorithm for finding nearly maximum cardinality matching

  • Jun He
  • Xin Yao
Artificial Intelligence

Abstract

Most of works on the time complexity analysis of evolutionary algorithms have always focused on some artificial binary problems The time complexity of the algorithms for combinatorial optimisation has not been well understood. This paper considers the time complexity of an evolutionary algorithm for a classical combinatorial optimisation problem, to find the maximum cardinality matching in a graph. It is shown that the evolutionary algorithm can produce, a matching with nearly maximum cardinality in average polynomial time.

Keywords

evolutionary algorithm (EA) combinatorial optimisation time complexity maximum matching 

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Copyright information

© Science Press, Beijing China and Allerton Press Inc. 2004

Authors and Affiliations

  1. 1.State Key Lab of Software EngineeringWuhan UniversityWuhanP.R. China
  2. 2.School of Computer ScienceUniversity of BirminghamBirminghamEngland, U.K.

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