Triangulation (geometry) | Binary trees | Reconfiguration

Rotation distance

In discrete mathematics and theoretical computer science, the rotation distance between two binary trees with the same number of nodes is the minimum number of tree rotations needed to reconfigure one tree into another. Because of a combinatorial equivalence between binary trees and triangulations of convex polygons, rotation distance is equivalent to the for triangulations of convex polygons. Rotation distance was first defined by Karel ฤŒulรญk II and Derick Wood in 1982. Every two n-node binary trees have rotation distance at most 2n โˆ’ 6, and some pairs of trees have exactly this distance. The computational complexity of computing the rotation distance is unknown. (Wikipedia).

Rotation distance
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Associahedron | Reconfiguration | Theoretical computer science | Convex polygon | Fan triangulation | Discrete mathematics | Computational complexity | Exponential time | Hyperbolic geometry | Tetrahedron | Binary search tree | Flip graph | Triangulation (geometry) | Polygon | Euclidean plane | NP (complexity) | Approximation algorithm | Manifold | Derick Wood | Self-balancing binary search tree | Tree rotation | Shortest path problem | Binary tree | Parameterized complexity | Complexity class