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Efficient approaches for the Flooding Problem on graphs

Author

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  • André Renato Villela Silva

    (Universidade Federal Fluminense - Instituto de Ciência e Tecnologia)

  • Luiz Satoru Ochi

    (Universidade Federal Fluminense - Instituto de Computação)

  • Bruno José da Silva Barros

    (Universidade Federal Rural de Pernambuco - Unidade Acadêmica de Garanhuns)

  • Rian Gabriel S. Pinheiro

    (Universidade Federal Rural de Pernambuco - Unidade Acadêmica de Garanhuns)

Abstract

This paper deals with the Flooding Problem on graphs. This problem consists in finding the shortest sequence of flooding moves that turns a colored graph into a monochromatic one. The problem has applications in some areas as disease propagation, for example. Three metaheuristics versions are proposed and compared with the literature results. A new integer programming formulation is also proposed and tested with the only formulation known. The obtained results indicate that both the proposed formulation and the Evolutionary Algorithm are, respectively, the best exact and heuristic approaches for the problem.

Suggested Citation

  • André Renato Villela Silva & Luiz Satoru Ochi & Bruno José da Silva Barros & Rian Gabriel S. Pinheiro, 2020. "Efficient approaches for the Flooding Problem on graphs," Annals of Operations Research, Springer, vol. 286(1), pages 33-54, March.
    • Handle: RePEc:spr:annopr:v:286:y:2020:i:1:d:10.1007_s10479-018-2796-0
    DOI: 10.1007/s10479-018-2796-0
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    References listed on IDEAS

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