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Variable neighborhood scatter search for the incremental graph drawing problem

Author

Listed:
  • Jesús Sánchez-Oro

    (Universidad Rey Juan Carlos)

  • Anna Martínez-Gavara

    (Universidad de Valencia)

  • Manuel Laguna

    (University of Colorado Boulder)

  • Rafael Martí

    (Universidad de Valencia)

  • Abraham Duarte

    (Universidad Rey Juan Carlos)

Abstract

Automated graph-drawing systems utilize procedures to place vertices and arcs in order to produce graphs with desired properties. Incremental or dynamic procedures are those that preserve key characteristics when updating an existing drawing. These methods are particularly useful in areas such as planning and logistics, where updates are frequent. We propose a procedure based on the scatter search methodology that is adapted to the incremental drawing problem in hierarchical graphs. These drawings can be used to represent any acyclic graph. Comprehensive computational experiments are used to test the efficiency and effectiveness of the proposed procedure.

Suggested Citation

  • Jesús Sánchez-Oro & Anna Martínez-Gavara & Manuel Laguna & Rafael Martí & Abraham Duarte, 2017. "Variable neighborhood scatter search for the incremental graph drawing problem," Computational Optimization and Applications, Springer, vol. 68(3), pages 775-797, December.
    • Handle: RePEc:spr:coopap:v:68:y:2017:i:3:d:10.1007_s10589-017-9926-5
    DOI: 10.1007/s10589-017-9926-5
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    References listed on IDEAS

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    1. Hansen, Pierre & Mladenovic, Nenad & Moreno Pérez, Jos´e A., 2008. "Variable neighborhood search," European Journal of Operational Research, Elsevier, vol. 191(3), pages 593-595, December.
    2. Manuel Laguna & Rafael Marti, 1999. "GRASP and Path Relinking for 2-Layer Straight Line Crossing Minimization," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 44-52, February.
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    Cited by:

    1. Napoletano, Antonio & Martínez-Gavara, Anna & Festa, Paola & Pastore, Tommaso & Martí, Rafael, 2019. "Heuristics for the Constrained Incremental Graph Drawing Problem," European Journal of Operational Research, Elsevier, vol. 274(2), pages 710-729.
    2. Palubeckis, Gintaras & Tomkevičius, Arūnas & Ostreika, Armantas, 2019. "Hybridizing simulated annealing with variable neighborhood search for bipartite graph crossing minimization," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 84-101.

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