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Bipartite Graph Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Bipartite Graph Setup

Bipartite Graph Operations

Graph Visualization

Operation Steps

How to Use

  1. Add Node: Enter a label, select part, and click "Add Node"
  2. Add Edge: Enter source and destination, click "Add Edge"
  3. Random Bipartite Graph: Click to instantly generate a sample bipartite graph
  4. Remove Node/Edge: Enter node or edge and click remove
  5. Is Bipartite?: Click to check if the graph is bipartite
  6. Find Maximum Matching: Click to find a maximum matching
  7. Reset: Click to clear the graph

Bipartite Graph Concept

Bipartite Graph is a graph whose nodes can be divided into two disjoint sets such that every edge connects a node from one set to the other.

Key Characteristics:

  • No edge connects nodes within the same part
  • Can be colored with two colors
  • Used in matching, scheduling, and network flow problems

Purpose & Applications

  • Job assignment
  • Network flow
  • Matching in graphs
  • Scheduling

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 Bipartite? O(V+E) O(V+E)
Find Maximum Matching O(VE) O(V+E)

Strengths & Limitations

Strengths:

  • Efficient for matching problems
  • Simple structure for many applications

Limitations:

  • Not all graphs are bipartite
  • Matching algorithms can be complex

Bipartite Graph Code Implementation

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