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A top tree is a data structure based on a binary tree for unrooted dynamic trees that is used mainly for various path-related operations. It allows simple divide-and-conquer algorithms. It has since been augmented to maintain dynamically various properties of a tree such as diameter, center and median.

A top tree ℜ {\displaystyle \Re } is defined for an underlying tree T {\displaystyle {\mathcal {T}}} and a set ∂ T {\displaystyle \partial {T}} of at most two vertices called as External Boundary Vertices

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