English

On the rotation distance between binary trees

Combinatorics 2009-01-19 v1

Abstract

We develop combinatorial methods for computing the rotation distance between binary trees, i.e., equivalently, the flip distance between triangulations of a polygon. As an application, we prove that, for each n, there exist size n trees at distance 2n - O(sqrt(n)).

Keywords

Cite

@article{arxiv.0901.2557,
  title  = {On the rotation distance between binary trees},
  author = {Patrick Dehornoy},
  journal= {arXiv preprint arXiv:0901.2557},
  year   = {2009}
}
R2 v1 2026-06-21T12:01:52.353Z