A binary search tree (BST) is a data structure that maintains a sorted order of elements, where each node has at most two children. It allows for efficient searching, insertion, and deletion operations.

A binary search tree (BST) is a specialized tree data structure that maintains a sorted order of elements. In a BST, each node has at most two children: a left child and a right child. The left child contains values less than the parent node, while the right child contains values greater than the parent node. This property allows for efficient searching, insertion, and deletion operations, with average-case time complexities of O(log n) for balanced trees. The main advantage of a binary search tree is its ability to quickly locate values through a process known as binary search. Starting from the root, you can traverse left or right depending on whether the target value is less than or greater than the current node's value. This makes BSTs significantly faster than linear search algorithms, especially for large datasets. Additionally, BSTs can be used to implement ordered sets and maps, where elements are stored in a sorted manner. However, maintaining balance is crucial for optimal performance. If a BST becomes unbalanced, such as when elements are inserted in a sorted order, the time complexity for operations can degrade to O(n), making it as inefficient as a linked list. To address this, self-balancing trees, like AVL trees and red-black trees, are used to maintain balanced structures. Understanding binary search trees and their operations is essential for mastering data structures and algorithms, as they provide a foundation for efficient data organization and retrieval.