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O ( log n ) {\displaystyle {\text {O}} (\log n)} [ 1] Animation showing the insertion of several elements into an AVL tree. It includes left, right, left-right and right-left rotations. Fig. 1: AVL tree with balance factors (green) In computer science, an AVL tree (named after inventors A delson- V elsky and L andis) is a self-balancing ...
Binary search tree. Fig. 1: A binary search tree of size 9 and depth 3, with 8 at the root. In computer science, a binary search tree ( BST ), also called an ordered or sorted binary tree, is a rooted binary tree data structure with the key of each internal node being greater than all the keys in the respective node's left subtree and less than ...
In computer science, a self-balancing binary search tree (BST) is any node -based binary search tree that automatically keeps its height (maximal number of levels below the root) small in the face of arbitrary item insertions and deletions. [ 1] These operations when designed for a self-balancing binary search tree, contain precautionary ...
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 ...
AVL tree, red–black tree, and splay tree, kinds of binary search tree data structures that use rotations to maintain balance. Associativity of a binary operation means that performing a tree rotation on it does not change the final result. The Day–Stout–Warren algorithm balances an unbalanced BST.
In computer science, an optimal binary search tree (Optimal BST), sometimes called a weight-balanced binary tree, [1] is a binary search tree which provides the smallest possible search time (or expected search time) for a given sequence of accesses (or access probabilities). Optimal BSTs are generally divided into two types: static and dynamic.
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.
Multiset (bag) Stack. Queue (example Priority queue) Double-ended queue. Graph (example Tree, Heap) Some properties of abstract data types: This article needs attention from an expert in Computer science. The specific problem is: further features needed. WikiProject Computer science may be able to help recruit an expert.