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Connected Graph Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Connected Graph Setup

Connected 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 Connected Graph: Click to instantly generate a connected graph
  4. Remove Node/Edge: Enter node or edge and click remove
  5. Is Connected?: Click to check if the graph is connected
  6. Reset: Click to clear the graph

Connected Graph Concept

Connected Graph is a graph in which there is a path between every pair of nodes.

Key Characteristics:

  • All nodes are reachable from any other node
  • No isolated nodes or disconnected components
  • Minimum edges for n nodes: n-1 (tree)

Purpose & Applications

  • Network reliability
  • Communication networks
  • Spanning trees
  • Graph traversal algorithms

Time & Space Complexity

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

Strengths & Limitations

Strengths:

  • Ensures reachability
  • Foundation for many algorithms

Limitations:

  • May require many edges for large graphs
  • Not all graphs are connected

Connected Graph Code Implementation

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