Abstract
This paper presents a new genetic local search algorithm for the graph coloring problem. The algorithm combines an original crossover based on the notion of union of independent sets and a powerful local search operator (tabu search). This new hybrid algorithm allows us to improve ou the best known results of some large instances of the famous Dimacs benchmarks.
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D. Brélaz. New methods to color vertices of a graph. Communications of ACM. 22: 251–256. 1979.
M. Chams, A. Hertz, and D. De Werra. Some experiments with simulated annealing for coloring graphs. European Journal of Operational Research. 32: 260–266, 1987.
D. Costa, A. Hertz, and O. Dubuis. Embedding of a sequential procedure within an evolutionary algorithms for coloring problems in graphs. Journal of Heuristics. 1(1): 105–128, 1995.
R. Dorne and J.K. Hao Tabu search for graph coloring, T-coloring and set T-colorings. Presented at the 2nd Intl. Conf. on Metaheuristics, Sophia-Antopollis, France, July, 1997, Under review for publication.
E. Falkenauer A hybrid grouping genetic algorithm for bin-packing. Journal of Heuristics, 2(1): 5–30, 1996.
C. Fleurent and J.A. Ferland. Genetic and hybrid algorithms for graph coloring. Annals of Operations Research, 63: 437–463, 1995.
B. Freisleben and P. Merz. New genetic local search operators for the traveling salesman problem. Proc. of PPSN-96, Lecture Notes in Computer Science 1141, pp890–899, Springer-Verlag, 1996.
P. Galinier and J.K. Hao New crossover operators for graph coloring. Research Report, April 1998.
F. Glover and M. Laguna. Tabu Search. Kluwer Academic Publishers. 1997.
A. Hertz and D. De Werra. Using tabu search techniques for graph coloring. Computing, 39: 345–351, 1987.
D.S. Johnson, C.R. Aragon, L.A. McGeoch, and C. Schevon. Optimization by simulated annealing: an experimental evaluation; part ii, graph coloring and number partitioning. Operations Research, 39(3): 378–406, 1991.
F.T. Leighton. A graph coloring algorithm for large scheduling problems. Journal of Research of the National Bureau Standard, 84: 79–100, 1979.
P. Merz and B. Freisleben. A genetic local search approach to the quadratic assignment problem. In Proc. of ICGA-97, pp 465–472, Morgan Kaufmann Publishers, 1997.
C. Morgenstern. Distributed coloration neighborhood search. Discrete Mathematics and Theoretical Computer Science, 26: 335–358. American Mathematical Society, 1996.
C.H. Papadimitriou and K. Steiglitz. Combinatorial Optimization — Algorithms and Complexity. Prentice Hall, 1982.
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© 1998 Springer-Verlag Berlin Heidelberg
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Dorne, R., Hao, JK. (1998). A new genetic local search algorithm for graph coloring. In: Eiben, A.E., Bäck, T., Schoenauer, M., Schwefel, HP. (eds) Parallel Problem Solving from Nature — PPSN V. PPSN 1998. Lecture Notes in Computer Science, vol 1498. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0056916
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DOI: https://doi.org/10.1007/BFb0056916
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