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Complete Graph Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Complete Graph Setup

Complete Graph Operations

Graph Visualization

Operation Steps

How to Use

  1. Add Node: Enter a label and click "Add Node"
  2. Random Complete Graph: Click to instantly generate a complete graph
  3. Remove Node: Enter node and click remove
  4. Is Complete?: Click to check if the graph is complete
  5. Edge Count: Click to count the number of edges
  6. Reset: Click to clear the graph

Complete Graph Concept

Complete Graph is a simple undirected graph in which every pair of distinct nodes is connected by a unique edge.

Key Characteristics:

  • Every node is connected to every other node
  • Number of edges: n(n-1)/2 for n nodes
  • Highly connected structure

Purpose & Applications

  • Network design
  • Testing algorithms
  • Mathematical proofs
  • Graph theory research

Time & Space Complexity

Operation Time Complexity Space Complexity
Add Node O(V) O(V^2)
Remove Node O(V^2) O(V^2)
Is Complete? O(V^2) O(V^2)
Edge Count O(1) O(1)

Strengths & Limitations

Strengths:

  • Maximum connectivity
  • Simple structure for analysis

Limitations:

  • High space usage for large n
  • Not practical for very large graphs

Complete Graph Code Implementation

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