Algorithms1/10/2024

Graph Algorithms Explained


Graph Algorithms Explained


Graph algorithms are fundamental to computer science and are used in a wide variety of applications, from social networks to GPS navigation.


Breadth-First Search (BFS)


BFS explores all vertices at the current depth level before moving to the next level. It's perfect for finding the shortest path in unweighted graphs.


Depth-First Search (DFS)


DFS explores as far as possible along each branch before backtracking. It's useful for topological sorting and cycle detection.


Dijkstra's Algorithm


Dijkstra's algorithm finds the shortest path from a source vertex to all other vertices in a weighted graph with non-negative edges.


When to Use Each


  • Use BFS for shortest path in unweighted graphs
  • Use DFS for topological sorting or cycle detection
  • Use Dijkstra's for shortest path in weighted graphs