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Binary Search Tree Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Binary Search Tree Setup

Binary Search Tree Operations

Tree Visualization

(BST maintains sorted order through structure)

Operation Steps

How to Use

  1. Insert: Enter a value and click "Insert"
  2. Delete: Enter a value and click "Delete"
  3. Search: Enter a value and click "Search"
  4. Random BST: Click to generate a random tree
  5. Reset: Click to clear the tree

Binary Search Tree Concept

Binary Search Tree (BST) is a binary tree where left child values are smaller than parent, and right child values are larger than parent.

Key Properties:

  • Left subtree values < parent value
  • Right subtree values > parent value
  • In-order traversal gives sorted sequence
  • Efficient search, insert, and delete

BST stands for Binary Search Tree, a fundamental data structure that maintains sorted order through its structural properties.

Purpose & Applications

  • Database indexing
  • File systems
  • Expression parsing
  • Priority queues
  • Sorted data maintenance

Strengths & Limitations

Strengths:

  • Simple implementation
  • In-order gives sorted data
  • Dynamic size

Limitations:

  • Can become unbalanced
  • Worst case O(n) operations

Time & Space Complexity

Operation Average Case Worst Case
Insert O(log n) O(n)
Delete O(log n) O(n)
Search O(log n) O(n)
Space O(n) O(n)

Binary Search Tree Code Implementation

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