Binary Search Tree

🌲 Binary Search Tree

Binary Search Tree (BST) — Complete Guide

Learn BST concepts, operations, and interview patterns with clean explanations.

Topic Trees | Difficulty Easy → Hard | Focus Search + Traversal

BST Topics

• CORE CONCEPTS
• Introduction
• BST Properties
• Operations
• IMPLEMENTATION
• Code (Java)
• ADVANCED
• AVL & Red-Black Trees
• PRACTICE
• Videos
• FAQs

Concept Easy BST

What is a Binary Search Tree?

A Binary Search Tree is a binary tree where: left < node < right. This property enables efficient searching, insertion, and deletion.

Time: O(log n) (average)

Rules Easy

BST Properties

• Left subtree values are smaller
• Right subtree values are larger
• No duplicates (generally)

Operations Medium

BST Operations

Insertion

• Compare and move left/right
• Insert at null position

Deletion

• Leaf → remove
• One child → replace
• Two children → use inorder successor

Search

• Compare values
• Move left/right

Code Medium Java

Search in BST (Java)

Java

public TreeNode searchBST(TreeNode root, int val) {
    while (root != null) {
        if (val == root.val) return root;
        root = val < root.val ? root.left : root.right;
    }
    return null;
}

Advanced Hard

Advanced BST Topics

• AVL Trees → strictly balanced
• Red-Black Trees → balanced with colors

Learn Video

Recommended Videos

• Search in BST
• Two Sum IV
• BST Patterns

FAQ Common

FAQs

• Why BST? → Fast search (O(log n))
• When slow? → Skewed tree (O(n))
• AVL vs RB? → AVL stricter, RB faster updates

Practice BST problems to master tree-based interviews 🚀

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