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arxiv: 0901.2557 · v1 · submitted 2009-01-16 · 🧮 math.CO

On the rotation distance between binary trees

classification 🧮 math.CO
keywords distancetreesbinaryrotationapplicationcombinatorialcomputingdevelop
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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)).

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