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Depth-First Search (DFS: Useful for cycle detection, topological sort, and maze-solving) and Breadth-First Search (BFS: Good for shortest path in unweighted graphs) implementation with python.

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Graph-Traversal-Algorithms

In this repository, you will find Depth-First Search (DFS: Useful for cycle detection, topological sort, and maze-solving) and Breadth-First Search (BFS: Good for shortest path in unweighted graphs) implementation with python.

WHY this repository !

1) Core to Understanding Graph Structures:

  • Graph traversal algorithms help us explore all the nodes (vertices) and edges of a graph in a systematic way.
  • This is essential for understanding the structure and properties of the graph.

2) Used in Many Real-World Applications:

  • Social networks: Finding friends, influencers, or connections.
  • Web crawling: Search engines use traversal to index web pages.
  • Navigation and maps: GPS finds routes using traversal algorithms.
  • Recommendation systems: Exploring similar users/items via a graph.
  • Computer networks: Packet routing, connection analysis.
  • AI and game development: Pathfinding (e.g., A* uses traversal principles).

3) Solves Important Computational Problems:

  • Pathfinding: Finding shortest or all paths (e.g., Dijkstra, BFS).
  • Cycle detection: Important in dependency resolution.
  • Connected components: Identifying clusters or isolated parts.
  • Topological sorting: Ordering tasks with dependencies.
  • Searching: Locating specific nodes or values.

PS: We study graph traversal to explore, understand, and solve problems in graphs, which model relationships and structures in countless fields like computer science, AI, biology, social sciences, and engineering.

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Depth-First Search (DFS: Useful for cycle detection, topological sort, and maze-solving) and Breadth-First Search (BFS: Good for shortest path in unweighted graphs) implementation with python.

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