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

  • Authors:
  • Jun He;Xin Yao

  • Affiliations:
  • State Key Lab of Software Engineering, Wuhan University, Wuhan 430072, P.R. China and School of Computer Science, University of Birmingham, Birmingham B15 2TT, England, U.K.;School of Computer Science, University of Birmingham, Birmingham B15 2TT, England, U.K.

  • Venue:
  • Journal of Computer Science and Technology
  • Year:
  • 2004

Quantified Score

Hi-index 0.00

Visualization

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.