Lock-Gain Based Graph Partitioning

  • Authors:
  • Yong-Hyuk Kim;Byung-Ro Moon

  • Affiliations:
  • School of Computer Science & Engineering, Seoul National University, Shillim-dong, Kwanak-gu, Seoul, 151-742 Korea. yhdfly@soar.snu.ac.kr;School of Computer Science & Engineering, Seoul National University, Shillim-dong, Kwanak-gu, Seoul, 151-742 Korea. moon@soar.snu.ac.kr

  • Venue:
  • Journal of Heuristics
  • Year:
  • 2004

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Abstract

We propose a new heuristic for the graph partitioning problem. Based on the traditional iterative improvement framework, the heuristic uses a new type of gain in selecting vertices to move between partitions. The new type of gain provides a good explanation for the performance difference of tie-breaking strategies in KL-based iterative improvement graph partitioning algorithms. The new heuristic performed excellently. Theoretical arguments supporting its efficacy are also provided. As the proposed heuristic is considered a good candidate for local optimization engines in metaheuristics, we combined it with a genetic algorithm as a sample case and obtained a surprising result that even the average results over 1,000 runs equalled the best known for most graphs.