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  2. AVL tree - Wikipedia

    en.wikipedia.org/wiki/AVL_tree

    The AVL tree is named after its two Soviet inventors, Georgy Adelson-Velsky and Evgenii Landis, who published it in their 1962 paper "An algorithm for the organization of information". [2] It is the oldest self-balancing binary search tree data structure to be invented. [3]

  3. WAVL tree - Wikipedia

    en.wikipedia.org/wiki/WAVL_tree

    WAVL tree. In computer science, a WAVL tree or weak AVL tree is a self-balancing binary search tree. WAVL trees are named after AVL trees, another type of balanced search tree, and are closely related both to AVL trees and red–black trees, which all fall into a common framework of rank balanced trees. Like other balanced binary search trees ...

  4. Red–black tree - Wikipedia

    en.wikipedia.org/wiki/Red–black_tree

    The algorithms for bulk operations aren't just applicable to the red–black tree, but can be adapted to other sorted sequence data structures also, like the 2–3 tree, 2–3–4 tree and (a,b)-tree. In the following different algorithms for bulk insert will be explained, but the same algorithms can also be applied to removal and update.

  5. Interval tree - Wikipedia

    en.wikipedia.org/wiki/Interval_tree

    Interval tree. In computer science, an interval tree is a tree data structure to hold intervals. Specifically, it allows one to efficiently find all intervals that overlap with any given interval or point. It is often used for windowing queries, [1] for instance, to find all roads on a computerized map inside a rectangular viewport, or to find ...

  6. Splay tree - Wikipedia

    en.wikipedia.org/wiki/Splay_tree

    A splay tree is a binary search tree with the additional property that recently accessed elements are quick to access again. Like self-balancing binary search trees, a splay tree performs basic operations such as insertion, look-up and removal in O (log n) amortized time. For random access patterns drawn from a non-uniform random distribution ...

  7. Van Emde Boas tree - Wikipedia

    en.wikipedia.org/wiki/Van_Emde_Boas_tree

    A van Emde Boas tree (Dutch pronunciation: [vɑn ˈɛmdə ˈboːɑs]), also known as a vEB tree or van Emde Boas priority queue, is a tree data structure which implements an associative array with m -bit integer keys. It was invented by a team led by Dutch computer scientist Peter van Emde Boas in 1975. [1] It performs all operations in O(log m ...

  8. Scapegoat tree - Wikipedia

    en.wikipedia.org/wiki/Scapegoat_tree

    In computer science, a scapegoat tree is a self-balancing binary search tree, invented by Arne Andersson [2] in 1989 and again by Igal Galperin and Ronald L. Rivest in 1993. [1] It provides worst-case lookup time (with as the number of entries) and amortized insertion and deletion time. Unlike most other self-balancing binary search trees which ...

  9. Order statistic tree - Wikipedia

    en.wikipedia.org/wiki/Order_statistic_tree

    Order statistic tree. In computer science, an order statistic tree is a variant of the binary search tree (or more generally, a B-tree [1]) that supports two additional operations beyond insertion, lookup and deletion: Both operations can be performed in O(log n) worst case time when a self-balancing tree is used as the base data structure.