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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]
The worst-case height of AVL is 0.720 times the worst-case height of red-black trees, so AVL trees are more rigidly balanced. The performance measurements of Ben Pfaff with realistic test cases in 79 runs find AVL to RB ratios between 0.677 and 1.077, median at 0.947, and geometric mean 0.910. [22] The performance of WAVL trees lie in between ...
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.
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 ...
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 ...
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 ...
Wikimedia Commons has media related to k-d trees. In computer science, a k-d tree (short for k-dimensional tree) is a space-partitioning data structure for organizing points in a k -dimensional space. K-dimensional is that which concerns exactly k orthogonal axes or a space of any number of dimensions. [1] k -d trees are a useful data structure ...
Each complete English word has an arbitrary integer value associated with it. In computer science, a trie (/ ˈtraɪ /, / ˈtriː /), also called digital tree or prefix tree, [ 1 ] is a type of search tree: specifically, a k -ary tree data structure used for locating specific keys from within a set. These keys are most often strings, with links ...