Minimizing crossings in hierarchical digraphs with a hybridized genetic algorithm

  • Authors:
  • Pascale Kuntz;Bruno Pinaud;Rémi Lehn

  • Affiliations:
  • Aff1 Aff2;Aff1 Aff2 Aff3;Laboratoire d'informatique de Nantes Atlantique (LINA), Nantes, France 44300

  • Venue:
  • Journal of Heuristics
  • Year:
  • 2006

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Abstract

Producing clear and intelligible layouts of hierarchical digraphs knows a renewed interest in information visualization. Recent experimental results show that metaheuristics are well-adapted methods for this problem. In this paper, we develop a new Hybridized Genetic Algorithm for arc crossing minimization. It follows the basic scheme of a GA with two major differences: problem-based crossovers adapted from ordering GAs are combined with a local search strategy based on averaging heuristics. Computational testing was performed on a set of 180 random hierarchical digraphs of standard sizes with various structures. Results show that the Hybridized Genetic Algorithm significantly outperforms Tabu Search--which is one of the best known methods for this problem- and also a multi-start descent except for highly connected graphs.