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  2. AVL tree - Wikipedia

    en.wikipedia.org/wiki/AVL_tree

    AVL trees are more rigidly balanced than RB trees with an asymptotic relation AVL/RB ≈0.720 of the maximal heights. For insertions and deletions, Ben Pfaff shows in 79 measurements a relation of AVL/RB between 0.677 and 1.077 with median ≈0.947 and geometric mean ≈0.910.

  3. Tree rotation - Wikipedia

    en.wikipedia.org/wiki/Tree_rotation

    A double left rotation at X can be defined to be a right rotation at the right child of X followed by a left rotation at X; similarly, a double right rotation at X can be defined to be a left rotation at the left child of X followed by a right rotation at X. Tree rotations are used in a number of tree data structures such as AVL trees, red ...

  4. Left rotation - Wikipedia

    en.wikipedia.org/wiki/Left_rotation

    AVL trees and red–black trees are two examples of binary search trees that use the left rotation. A single left rotation is done in O(1) time but is often integrated within the node insertion and deletion of binary search trees. The rotations are done to keep the cost of other methods and tree height at a minimum.

  5. Right rotation - Wikipedia

    en.wikipedia.org/wiki/Right_rotation

    AVL trees and red–black trees are two examples of binary search trees that use a right rotation. A single right rotation is done in O(1) time but is often integrated within the node insertion and deletion of binary search trees. The rotations are done to keep the cost of other methods and tree height at a minimum.

  6. File:AVL Tree Rebalancing.svg - Wikipedia

    en.wikipedia.org/wiki/File:AVL_Tree_Rebalancing.svg

    English: A table showing the 4 cases of AVL tree rebalancing using rotations. Note added regarding double rotations on 2016-05-27 Note added regarding double rotations on 2016-05-27 Date

  7. PAM library - Wikipedia

    en.wikipedia.org/wiki/PAM_library

    The library is available on GitHub. It uses the underlying balanced binary tree structure using join-based algorithms. [1] PAM supports four balancing schemes, including AVL trees, red-black trees, treaps and weight-balanced trees. PAM is a parallel library and is also safe for concurrency.

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  9. Join-based tree algorithms - Wikipedia

    en.wikipedia.org/wiki/Join-based_tree_algorithms

    In 2016, Blelloch et al. formally proposed the join-based algorithms, and formalized the join algorithm for four different balancing schemes: AVL trees, red–black trees, weight-balanced trees and treaps. In the same work they proved that Adams' algorithms on union, intersection and difference are work-optimal on all the four balancing schemes.