Rotation Distance is Fixed-Parameter Tractable

Details Rotation Distance is Fixed-Parameter Tractable Rotation Distance is Fixed-Parameter Tractable

2009-03-02

arxiv.org/abs/0903.0197v1

Computer Science

Data Structures and Algorithms

9 pages, 3 figures

Scientific paper

Rotation distance between trees measures the number of simple operations it takes to transform one tree into another. There are no known polynomial-time algorithms for computing rotation distance. In the case of ordered rooted trees, we show that the rotation distance between two ordered trees is fixed-parameter tractable, in the parameter, k, the rotation distance. The proof relies on the kernalization of the initial trees to trees with size bounded by 7k.

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