English

Rotation Distance is Fixed-Parameter Tractable

Data Structures and Algorithms 2018-03-19 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0903.0197,
  title  = {Rotation Distance is Fixed-Parameter Tractable},
  author = {Sean Cleary and Katherine St. John},
  journal= {arXiv preprint arXiv:0903.0197},
  year   = {2018}
}

Comments

9 pages, 3 figures

R2 v1 2026-06-21T12:17:08.134Z