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Cyclic Graph Data Structure Visualizer

STEM Interactive Visual Learning Program at TEC-Bridge AI

Cyclic Graph Setup

Cyclic 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 Cyclic Graph: Click to instantly generate a cyclic graph
  4. Remove Node/Edge: Enter node or edge and click remove
  5. Check Cycle: Click to check if the graph contains a cycle
  6. Reset: Click to clear the graph

Cyclic Graph Concept

Cyclic Graph is a graph that contains at least one cycle, i.e., a path that starts and ends at the same node without repeating edges.

Key Characteristics:

  • Contains at least one cycle
  • May be directed or undirected
  • Cycle detection is a key operation

Purpose & Applications

  • Deadlock detection
  • Network analysis
  • Graph algorithms
  • Dependency resolution

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)
Check Cycle O(V+E) O(V+E)

Strengths & Limitations

Strengths:

  • Detects cycles efficiently
  • Useful for many algorithms

Limitations:

  • Cycle detection can be complex for large graphs
  • Not all graphs are cyclic

Cyclic Graph Code Implementation

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