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Multigraph Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Multigraph Setup

Multigraph 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" (multiple edges allowed)
  3. Random Multigraph: Click to instantly generate a multigraph
  4. Remove Node/Edge: Enter node or edge and click remove
  5. Edge Multiplicity: Click to count the number of edges between two nodes
  6. Reset: Click to clear the graph

Multigraph Concept

Multigraph is a graph which is permitted to have multiple edges (also called parallel edges) between the same pair of nodes.

Key Characteristics:

  • Multiple edges allowed between nodes
  • No restriction on edge multiplicity
  • Can be used to model transportation, communication, and network redundancy

Purpose & Applications

  • Transportation networks
  • Communication networks
  • Redundant systems
  • Network reliability

Time & Space Complexity

Operation Time Complexity Space Complexity
Add Node O(1) O(V+E)
Add Edge O(1) O(1)
Remove Node O(E) O(V+E)
Remove Edge O(E) O(1)
Edge Multiplicity O(E) O(1)

Strengths & Limitations

Strengths:

  • Models redundancy and parallelism
  • Useful for network analysis

Limitations:

  • Can be more complex to analyze
  • May require special algorithms

Multigraph Code Implementation

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