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Journal of Combinatorial Optimization

, Volume 7, Issue 3, pp 229–236 | Cite as

Genetic Algorithm for Graph Coloring: Exploration of Galinier and Hao's Algorithm

  • Celia A. Glass
  • Adam Prügel-Bennett
Article

Abstract

This paper examines the best current algorithm for solving the Chromatic Number Problem, due to Galinier and Hao (Journal of Combinatorial Optimization, vol. 3, no. 4, pp. 379–397, 1999). The algorithm combines a Genetic Algorithm with Tabu Search. We show that the algorithm remains powerful even if the Tabu Search component is eliminated, and explore the reasons for its success where other Genetic Algorithms have failed. In addition we propose a generalized algorithm for the Frequency Assignment Problem.

graph theory: chromatic number problem frequency assignment problem heuristics: local search genetic algorithms 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Celia A. Glass
    • 1
  • Adam Prügel-Bennett
    • 2
  1. 1.Faculty of Actuarial Science and StatisticsCass Business SchoolLondonUK
  2. 2.Department of Electronics and Computer ScienceUniversity of SouthamptonSouthamptonUK

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