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Disconnected Graph Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Disconnected Graph Setup

Disconnected Graph Operations

Graph Visualization

Operation Steps

How to Use

  1. Add Node: Enter a label and click "Add Node"
  2. Add Edge: Enter source and destination, click "Add Edge"
  3. Random Disconnected Graph: Click to instantly generate a disconnected graph
  4. Remove Node/Edge: Enter node or edge and click remove
  5. Is Connected? Click to check if the graph is connected
  6. Component Count: Click to count the number of connected components
  7. Reset: Click to clear the graph

Disconnected Graph Concept

Disconnected Graph is a graph in which at least two vertices are not connected by a path.

Key Characteristics:

  • Contains two or more components
  • Not all nodes are reachable from each other
  • Useful for modeling isolated systems

Purpose & Applications

  • Modeling isolated networks
  • Cluster analysis
  • Disconnected social groups
  • Network reliability

Time & Space Complexity

Operation Time Complexity Space Complexity
Add Node O(V^2) O(V^2)
Add Edge O(1) O(1)
Remove Node O(V^2) O(V^2)
Remove Edge O(1) O(1)
Is Connected? O(V+E) O(V)
Component Count O(V+E) O(V)

Strengths & Limitations

Strengths:

  • Models isolated systems
  • Useful for cluster analysis

Limitations:

  • Not all nodes are reachable
  • May not represent a single system

Disconnected Graph Code Implementation

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