Understanding Binary Search Trees: Key Features and Efficiency
Learn the essentials of Binary Search Trees (BST) and their benefits in search operations.
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In a Binary Search Tree (BST), each node has at most two children. For each node, the left child's value is less than the node's value and the right child's value is greater. This property makes search operations more efficient than in a regular binary tree, often resulting in O(log n) time complexity for search, insert, and delete operations, provided the tree is balanced.
FAQs & Answers
- What is a Binary Search Tree? A Binary Search Tree is a data structure where each node has at most two children and maintains specific ordering properties for efficient searching.
- How do insert and delete operations work in BST? In a BST, insertions and deletions are performed by traversing the tree according to the node values, maintaining the BST property.
- What is the time complexity of searching in a balanced BST? The time complexity for search operations in a balanced Binary Search Tree is O(log n).
- Why are BSTs preferred over regular binary trees? BSTs offer more efficient searching capabilities due to their ordering properties, often resulting in faster operations.