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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 ...
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 ...
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 ...
Such a tree has exactly + leaf nodes, which can be identified (in the order given by the binary tree) with the + input weights. The goal of the problem is to find a tree, among all of the possible trees with internal nodes, that minimizes the weighted sum of the external path lengths. These path lengths are the numbers of steps from the root to ...
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.
B-tree. In computer science, a B-tree is a self-balancing tree data structure that maintains sorted data and allows searches, sequential access, insertions, and deletions in logarithmic time. The B-tree generalizes the binary search tree, allowing for nodes with more than two children. [2]
A weight-balanced tree is a binary search tree that stores the sizes of subtrees in the nodes. That is, a node has fields. key, of any ordered type. value (optional, only for mappings) left, right, pointer to node. size, of type integer. By definition, the size of a leaf (typically represented by a nil pointer) is zero.
A tango tree is a type of binary search tree proposed by Erik D. Demaine, Dion Harmon, John Iacono, and Mihai Pătrașcu in 2004. [ 1] It is named after Buenos Aires, of which the tango is emblematic. It is an online binary search tree that achieves an competitive ratio relative to the offline optimal binary search tree, while only using ...