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N-ary Tree Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Tree Setup

Tree Operations

Tree Visualization

Operation Steps

How to Use

  1. Set Max Children: Define maximum children per node (2-10)
  2. Insert Node: Enter value and parent to add new node
  3. Random Tree: Click Random Tree to generate sample N-ary tree.
  4. Delete Node: Remove node and its subtree
  5. Search Node: Find and highlight node in tree
  6. Reset: Clear the entire tree

N-ary Tree Concept

N-ary Tree is a tree data structure where each node can have at most N children, generalizing binary trees.

Key Characteristics:

  • Each node has at most N children
  • Hierarchical structure with root node
  • No cycles allowed
  • Flexible branching factor

Applications: File systems, organizational charts, decision trees, game trees, and multi-way search structures.

Purpose & Applications

  • File system directories
  • Organizational hierarchies
  • Decision trees
  • Game state trees
  • Multi-way search trees
  • Expression parsing

Time & Space Complexity

Operation Time Complexity Space Complexity
Insert O(h) O(1)
Delete O(h) O(1)
Search O(n) O(h)
Traversal O(n) O(h)

h = height of tree, n = number of nodes

Strengths & Limitations

Strengths:

  • Flexible branching factor
  • Natural hierarchical representation
  • Efficient for tree-based algorithms
  • Scalable structure

Limitations:

  • No inherent ordering
  • Search can be O(n) in worst case
  • Memory overhead for pointers

N-ary Tree Code Implementation

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