A fast and simple heuristic for constrained two-level crossing reduction

  • Authors:
  • Michael Forster

  • Affiliations:
  • University of Passau, Passau, Germany

  • Venue:
  • GD'04 Proceedings of the 12th international conference on Graph Drawing
  • Year:
  • 2004

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Abstract

The one-sided two-level crossing reduction problem is an important problem in hierarchical graph drawing. Because of its NP-hardness there are many heuristics, such as the well-known barycenter and median heuristics. We consider the constrained one-sided two-level crossing reduction problem, where the relative position of certain vertex pairs on the second level is fixed. Based on the barycenter heuristic, we present a new algorithm that runs in quadratic time and generates fewer crossings than existing simple extensions. It is significantly faster than an advanced algorithm by Schreiber [12] and Finnocchi [1,2,6], while it compares well in terms of crossing number. It is also easy to implement.