Understanding Graph Traversal Algorithms A Deep Dive into BFS and DFS

Explore the fundamental concepts of Graph Traversal Algorithms in this comprehensive presentation. We delve into the intricacies of Breadth First Search (BFS) and Depth First Search (DFS), two essential algorithms for navigating graphs efficiently. This slide deck provides clear explanations, visual examples, and practical applications, making it suitable for beginners and experienced programmers alike. Learn how these algorithms work, their differences, and when to use each one for optimal results in graph-related problems.

1. Understanding Graph Traversal Algorithms: A Deep Dive into BFS and DFS Graph Traversal Algorithm

2. Graph Traversal Algorithm Traversing the graph means examining all the nodes and vertices of the graph. There are two standard methods by using which, we can traverse the graphs. Breadth First Search (BFS) - BFS traversing the graph from root node and explores all the nearest nodes and by process explore all the unexplored nodes until it finds the goal. Depth First Search (DFS) - DFS algorithm starts with the initial node of the graph, and then goes to deeper and deeper until we find the goal node or the node which has no children.

3. DIFFERENCE BETWEEN BFS AND DFS Breadth First Search (BFS) Depth First Search (DFS) BFS use queue data structure to store un-explored nodes. Uses stack data structure to store un-explored nodes. BFS is slower and require more memory. DFS is faster and require less memory. Shortest path, GPS navigation systems are real-time applications of BFS Topological sorting, path finding are real-time a pplications of DFS

4. Graph Solving We will apply BFS and DFS on this graph

5. BFS 1 2 4 4 5 5 3 3 ф Q: Q: Q: Q: Q: Q: Visited: Visited: Visited: Visited: Visited: Visited: ф 1 1,2 1,2,4 1,2,4,5 1,2,4,5,3 Here 1,2,4,5,3 are the Traversal order for the graph

6. DFS S Visited: Visited: Visited: Visited: Visited: Visited: ф 1 1,4 1,4,3 1,4,3,2 1,4,3,2,5 1 4 2 3 2 ф 2 5 S S S S S Here 1,4,3,2,5 are the Traversal order for the graph

7. Thanks