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  2. Binary search tree - Wikipedia

    en.wikipedia.org/wiki/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 the ones in its right subtree.

  3. Optimal binary search tree - Wikipedia

    en.wikipedia.org/wiki/Optimal_binary_search_tree

    The splay tree is a form of binary search tree invented in 1985 by Daniel Sleator and Robert Tarjan on which the standard search tree operations run in (⁡ ()) amortized time. [10] It is conjectured to be dynamically optimal in the required sense. That is, a splay tree is believed to perform any sufficiently long access sequence X in time O ...

  4. Random tree - Wikipedia

    en.wikipedia.org/wiki/Random_tree

    Random binary tree, binary trees with various random distributions, including trees formed by random insertion orders, and trees that are uniformly distributed with a given number of nodes Random recursive tree , increasingly labelled trees, which can be generated using a simple stochastic growth rule.

  5. Random binary tree - Wikipedia

    en.wikipedia.org/wiki/Random_binary_tree

    Binary trees may also be studied with all nodes unlabeled, or with labels that are not given in sorted order. For instance, the Cartesian tree data structure uses labeled binary trees that are not necessarily binary search trees. [4] A random binary tree is a random tree drawn from a certain probability distribution on binary trees. In many ...

  6. Binary tree - Wikipedia

    en.wikipedia.org/wiki/Binary_tree

    Binary trees labelled this way are used to implement binary search trees and binary heaps, and are used for efficient searching and sorting. The designation of non-root nodes as left or right child even when there is only one child present matters in some of these applications, in particular, it is significant in binary search trees. [10]

  7. Search tree - Wikipedia

    en.wikipedia.org/wiki/Search_tree

    A Binary Search Tree is a node-based data structure where each node contains a key and two subtrees, the left and right. For all nodes, the left subtree's key must be less than the node's key, and the right subtree's key must be greater than the node's key.

  8. Tango tree - Wikipedia

    en.wikipedia.org/wiki/Tango_tree

    It is an online binary search tree that achieves an (⁡ ⁡) competitive ratio relative to the offline optimal binary search tree, while only using (⁡ ⁡) additional bits of memory per node. This improved upon the previous best known competitive ratio, which was O ( log ⁡ n ) {\displaystyle O(\log n)} .

  9. Binary search - Wikipedia

    en.wikipedia.org/wiki/Binary_search

    Binary search Visualization of the binary search algorithm where 7 is the target value Class Search algorithm Data structure Array Worst-case performance O (log n) Best-case performance O (1) Average performance O (log n) Worst-case space complexity O (1) Optimal Yes In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search ...