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  2. AVL tree - Wikipedia

    en.wikipedia.org/wiki/AVL_tree

    It is the first self-balancing binary search tree data structure to be invented. [3] AVL trees are often compared with red–black trees because both support the same set of operations and take (⁡) time for the basic operations. For lookup-intensive applications, AVL trees are faster than red–black trees because they are more strictly ...

  3. List of data structures - Wikipedia

    en.wikipedia.org/wiki/List_of_data_structures

    This is a list of well-known data structures. For a wider list of terms, see list of terms relating to algorithms and data structures. For a comparison of running times for a subset of this list see comparison of data structures.

  4. Tree traversal - Wikipedia

    en.wikipedia.org/wiki/Tree_traversal

    In computer science, tree traversal (also known as tree search and walking the tree) is a form of graph traversal and refers to the process of visiting (e.g. retrieving, updating, or deleting) each node in a tree data structure, exactly once. Such traversals are classified by the order in which the nodes are visited.

  5. 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.

  6. Interval tree - Wikipedia

    en.wikipedia.org/wiki/Interval_tree

    The interval tree data structure can be generalized to a higher dimension with identical query and construction time and (⁡) space. First, a range tree in N {\displaystyle N} dimensions is constructed that allows efficient retrieval of all intervals with beginning and end points inside the query region R {\displaystyle R} .

  7. Georgy Adelson-Velsky - Wikipedia

    en.wikipedia.org/wiki/Georgy_Adelson-Velsky

    Along with Evgenii Landis, he invented the AVL tree in 1962. This was the first known balanced binary search tree data structure. [3] Beginning in 1963, Adelson-Velsky headed the development of a computer chess program at the Institute for Theoretical and Experimental Physics in Moscow.

  8. WAVL tree - Wikipedia

    en.wikipedia.org/wiki/WAVL_tree

    One advantage of AVL trees over red–black trees is being more balanced: they have height at most ⁡ ⁡ (for a tree with n data items, where is the golden ratio), while red–black trees have larger maximum height, ⁡. If a WAVL tree is created using only insertions, without deletions, then it has the same small height bound that an AVL ...

  9. Order statistic tree - Wikipedia

    en.wikipedia.org/wiki/Order_statistic_tree

    To turn a regular search tree into an order statistic tree, the nodes of the tree need to store one additional value, which is the size of the subtree rooted at that node (i.e., the number of nodes below it). All operations that modify the tree must adjust this information to preserve the invariant that size[x] = size[left[x]] + size[right[x]] + 1