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Dense Graph Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Dense Graph Setup

Dense 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 Dense Graph: Click to instantly generate a dense graph
  4. Remove Node/Edge: Enter node or edge and click remove
  5. Density: Click to calculate the density of the graph
  6. Reset: Click to clear the graph

Dense Graph Concept

Dense Graph is a graph in which the number of edges is close to the maximum possible, i.e., close to n(n-1)/2 for n nodes.

Key Characteristics:

  • Many edges, few missing connections
  • Efficient for adjacency matrix representation
  • High connectivity

Purpose & Applications

  • Network analysis
  • Social networks
  • Dense matrix algorithms
  • Graph theory research

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)
Density O(1) O(1)

Strengths & Limitations

Strengths:

  • High connectivity
  • Efficient for dense data

Limitations:

  • High space usage for large graphs
  • Not efficient for sparse graphs

Dense Graph Code Implementation

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