Memetic Algorithm for the Minimum Edge Dominating Set Problem

Research output: Contribution to journalArticle


The minimum edge dominating set (MEDS) is one of the fundamental covering problems in graph theory, which finds many practical applications in diverse domains. In this paper, we propose a meta-heuristic approach based on genetic algorithm and local search to solve the MEDS problem. Therefore, the proposed method is considered as a memetic search algorithm which is called Memetic Algorithm for minimum edge dominating set (MAMEDS). In the MAMEDS method, a new fitness function is invoked to effectively measure the solution qualities. The search process in the proposed method uses intensification schemes beside the main genetic search operations in order to achieve faster performance. The experimental results proves that the proposed method is promising in solving the MEDS problem.


External organisations
  • Assiut University
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Other Social Sciences


  • Minimum edge dominating set, Graph theory, Genetic algorithm, Memetic Algorithm, Local search
Original languageEnglish
Pages (from-to)179-186
Number of pages8
JournalInternational Journal of Artificial Intelligence
Issue number4
Publication statusPublished - 2013 Dec
Publication categoryResearch