A Memetic Algorithm with Two Distinct Solution Representations for the Partition Graph Coloring Problem

  • Petrica C. Pop
  • Bin Hu
  • Günther R. Raidl
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8111)


In this paper we propose a memetic algorithm (MA) for the partition graph coloring problem. Given a clustered graph G = (V,E), the goal is to find a subset V * ⊂ V that contains exactly one node for each cluster and a coloring for V * so that in the graph induced by V *, two adjacent nodes have different colors and the total number of used colors is minimal. In our MA we use two distinct solution representations, one for the genetic operators and one for the local search procedure, which are tailored for the corresponding situations, respectively. The algorithm is evaluated on a common benchmark instances set and the computational results show that compared to a state-of-the-art branch and cut algorithm, our MA achieves solid results in very short run-times.


Crossover Operator Genetic Operator Memetic Algorithm Network Design Problem Coloring Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Petrica C. Pop
    • 1
  • Bin Hu
    • 2
  • Günther R. Raidl
    • 2
  1. 1.Tech. Univ. Cluj-Napoca, North Univ. Center Baia-MareBaia-MareRomania
  2. 2.Institute of Computer Graphics and AlgorithmsVienna University of TechnologyViennaAustria

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