A Binary Search Tree (BST) is a node-based data structure where each node has at most two children, satisfying the property that for any given node, all nodes on the left subtree have smaller values, and all nodes on the right have larger values. This property allows for efficient searching, insertion, and deletion operations, making BSTs a fundamental part of many algorithms and applications involving hierarchical data storage.

Binary Search Trees

A Binary Search Tree (BST) is a data structure that facilitates fast lookup, addition, and removal of items, with average time complexities of O(log n) for these operations when the tree is balanced. Each node in a BST has a key greater than all keys in its left subtree and less than those in its right subtree, enabling efficient searching and sorting of data.

Binary Search Tree

node-based data structure

two children

left subtree

smaller values

Right subtree

larger values

efficient searching

Insertion operations

deletion operations

fundamental part

Algorithms are step-by-step procedures or formulas for solving problems or performing tasks, and are fundamental to computer science and artificial intelligence. They optimize processes by providing clear instructions that can be executed by machines to achieve desired outcomes efficiently and effectively.

algorithms

applications

hierarchical data storage

The Comprehensive Framework of Data Structures and Algorithms: A Foundational Overview

Arrays

Relevant Degrees

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