An Efficient Fixed Parameter Tractable Algorithm for 1-Sided Crossing Minimization

  • Authors:
  • Vida Dujmovic;Sue Whitesides

  • Affiliations:
  • -;-

  • Venue:
  • GD '02 Revised Papers from the 10th International Symposium on Graph Drawing
  • Year:
  • 2002

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Abstract

We give an O(驴k 驴 n2) algorithm for the 1-SIDED CROSSING MINIMIZATION problem, thus showing that the problem is Fixed Parameter Tractable. The constant 驴 in the running time is the golden ratio 驴 = 1+驴5/2 驴 1.618. The constant k is the parameter of the problem: the number of alloweded ge crossings.