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Binary Tree Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Binary Tree Setup

Binary Tree Operations

Tree Visualization

(Binary Tree allows flexible node placement)

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 Tree: Click to generate a random tree
  5. Reset: Click to clear the tree

Binary Tree Concept

Binary Tree is a hierarchical data structure where each node has at most two children: left child and right child.

Key Properties:

  • Each node has at most 2 children
  • Left and right subtrees are also binary trees
  • No ordering constraint (unlike BST)
  • Flexible insertion and structure

Binary Tree is the foundation for many specialized tree structures like BST, AVL, and Red-Black trees.

Tree Traversals:

  • Pre-order: Root → Left → Right
  • In-order: Left → Root → Right
  • Post-order: Left → Right → Root

Purpose & Applications

  • Expression trees
  • Decision trees
  • Huffman coding
  • File system hierarchies
  • Syntax trees in compilers

Strengths & Limitations

Strengths:

  • Flexible structure
  • Foundation for specialized trees
  • Efficient traversals

Limitations:

  • No ordering guarantee
  • Can become unbalanced

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 Tree Code Implementation

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