A tree sort is a sort algorithm that builds a binary search tree from the elements to be sorted, and then traverses the tree (in-order) so that the elements...

In computer science, a self-balancing binary search tree (BST) is any node-based binary search tree that automatically keeps its height (maximal number...

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...

or binary tree) is used, the time required for searching and insertion can be reduced significantly; this is the essence of heap sort and binary tree sort...

In computer science, a binary tree is a tree data structure in which each node has at most two children, referred to as the left child and the right child...

extends binary search to unbounded lists. The binary search tree and B-tree data structures are based on binary search. Binary search works on sorted arrays...

& Creating point clouds. k-d trees are a special case of binary space partitioning trees. The k-d tree is a binary tree in which every node is a k-dimensional...

tree is a self-balancing binary search tree data structure noted for fast storage and retrieval of ordered information. The nodes in a red-black tree...

version of the binary tree sort. Instead of inserting items sequentially into an explicit tree, quicksort organizes them concurrently into a tree that is implied...

notation § Family of Bachmann–Landau notations). For example, binary tree sort creates a binary tree by inserting each element of the n-sized array one by one...

representation of objects within the space in the form of a tree data structure known as a BSP tree. Binary space partitioning was developed in the context of...

the induced number of passes becomes the bottleneck. Binary MSD radix sort, also called binary quicksort, can be implemented in-place by splitting the...

traversal retrieves the keys in descending sorted order. To traverse arbitrary trees (not necessarily binary trees) with depth-first search, perform the following...

is high. Heap sort is a sorting algorithm that utilizes binary heap data structure. The method treats an array as a complete binary tree and builds up...

insertions, and deletions in logarithmic time. The B-tree generalizes the binary search tree, allowing for nodes with more than two children. By allowing...

randomized binary search tree data structures for binary search problems, in comparison sort algorithms that perform efficiently on nearly-sorted inputs,...

A binary heap is a heap data structure that takes the form of a binary tree. Binary heaps are a common way of implementing priority queues.: 162–163 ...

takes no space beyond the array of objects to be sorted; the array is interpreted as a complete binary tree where each array element is a node and each node's...

computing, a threaded binary tree is a binary tree variant that facilitates traversal in a particular order. An entire binary search tree can be easily traversed...

improve insertion sort Tree sort (binary tree sort): build binary tree, then traverse it to create sorted list Merge sorts Merge sort: sort the first and...

with the same counting function including Dyck paths and binary trees. The problem of sorting an input sequence using a stack was first posed by Knuth...

computer science, an AVL tree (named after inventors Adelson-Velsky and Landis) is a self-balancing binary search tree. In an AVL tree, the heights of the...

single straight line (called edge or link between two adjacent nodes). Binary trees are a commonly used type, which constrain the number of children for...

probability theory, a random binary tree is a binary tree selected at random from some probability distribution on binary trees. Different distributions have...

computer science, an optimal binary search tree (Optimal BST), sometimes called a weight-balanced binary tree, is a binary search tree which provides the smallest...

binary search tree are two closely related forms of binary search tree data structures that maintain a dynamic set of ordered keys and allow binary searches...

application stores the entire key–value pair at that particular location. A Binary Search Tree is a node-based data structure where each node contains a key and...

digital tree or prefix tree, is a specialized search tree data structure used to store and retrieve strings from a dictionary or set. Unlike a binary search...

C3, etc.). Each disk level is also sorted, allowing for efficient searches using methods like binary search or tree search. Newer levels are checked first...

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...