1 / 29

Breadth First Search

This document elaborates on the application of the Breadth-First Search (BFS) algorithm to identify the shortest path in a graph. By utilizing a queue data structure, the BFS systematically traverses each node's neighbors while keeping track of discovered paths. Each step of the algorithm is documented, highlighting the transition between discovered and undiscovered nodes, and marking finished searches. This detailed examination of BFS provides insights into its effectiveness for shortest path calculations in various graph scenarios, ensuring clarity and understanding for learners and practitioners alike.

zeki
Télécharger la présentation

Breadth First Search

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Breadth First Search 2 4 8 s 5 7 3 6 9

  2. Breadth First Search Shortest pathfrom s 1 2 2 4 8 0 s 5 7 3 6 9 Undiscovered Queue: s Discovered Top of queue Finished

  3. Breadth First Search 1 2 4 8 0 s 5 7 3 3 6 9 1 Undiscovered Queue: s 2 Discovered Top of queue Finished

  4. Breadth First Search 1 2 4 8 0 5 s 5 7 1 3 6 9 1 Undiscovered Queue: s 2 3 Discovered Top of queue Finished

  5. Breadth First Search 1 2 4 8 0 s 5 7 1 3 6 9 1 Undiscovered Queue: 2 3 5 Discovered Top of queue Finished

  6. Breadth First Search 1 2 2 4 4 8 0 s 5 7 1 3 6 9 1 Undiscovered Queue: 2 3 5 Discovered Top of queue Finished

  7. Breadth First Search 1 2 2 4 8 5 already discovered:don't enqueue 0 s 5 7 1 3 6 9 1 Undiscovered Queue: 2 3 5 4 Discovered Top of queue Finished

  8. Breadth First Search 1 2 2 4 8 0 s 5 7 1 3 6 9 1 Undiscovered Queue: 2 3 5 4 Discovered Top of queue Finished

  9. Breadth First Search 1 2 2 4 8 0 s 5 7 1 3 6 9 1 Undiscovered Queue: 3 5 4 Discovered Top of queue Finished

  10. Breadth First Search 1 2 2 4 8 0 s 5 7 1 3 6 6 9 1 2 Undiscovered Queue: 3 5 4 Discovered Top of queue Finished

  11. Breadth First Search 1 2 2 4 8 0 s 5 7 1 3 6 9 1 2 Undiscovered Queue: 3 5 4 6 Discovered Top of queue Finished

  12. Breadth First Search 1 2 2 4 8 0 s 5 7 1 3 6 9 1 2 Undiscovered Queue: 5 4 6 Discovered Top of queue Finished

  13. Breadth First Search 1 2 2 4 8 0 s 5 7 1 3 6 9 1 2 Undiscovered Queue: 5 4 6 Discovered Top of queue Finished

  14. Breadth First Search 1 2 2 4 8 0 s 5 7 1 3 6 9 1 2 Undiscovered Queue: 4 6 Discovered Top of queue Finished

  15. Breadth First Search 1 2 3 2 4 8 8 0 s 5 7 1 3 6 9 1 2 Undiscovered Queue: 4 6 Discovered Top of queue Finished

  16. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 6 9 1 2 Undiscovered Queue: 4 6 8 Discovered Top of queue Finished

  17. Breadth First Search 1 2 3 2 4 8 0 7 s 5 7 1 3 3 6 9 1 2 Undiscovered Queue: 6 8 Discovered Top of queue Finished

  18. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 9 3 1 2 Undiscovered Queue: 6 8 7 Discovered Top of queue Finished

  19. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 6 8 7 9 Discovered Top of queue Finished

  20. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 8 7 9 Discovered Top of queue Finished

  21. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 7 9 Discovered Top of queue Finished

  22. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 7 9 Discovered Top of queue Finished

  23. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 7 9 Discovered Top of queue Finished

  24. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 7 9 Discovered Top of queue Finished

  25. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 9 Discovered Top of queue Finished

  26. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 9 Discovered Top of queue Finished

  27. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: 9 Discovered Top of queue Finished

  28. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Undiscovered Queue: Discovered Top of queue Finished

  29. Breadth First Search 1 2 3 2 4 8 0 s 5 7 1 3 3 6 9 3 1 2 Level Graph

More Related