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233-234. Sedgewick & Wayne (2004); Chazelle (2005). Adjacency lists. Hansel & Gretel. random walk. 1. Birds eat the bread crumbs. DFS/BFS. 2. They don’t. Diffusion equation. Random walk. Diffusion equation. Normal distribution. 3 views of the same thing. Hansel & Gretel.

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233-234

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  1. 233-234 Sedgewick & Wayne (2004); Chazelle (2005)

  2. Adjacency lists

  3. Hansel & Gretel random walk 1. Birds eat the bread crumbs DFS/BFS 2. They don’t

  4. Diffusion equation

  5. Random walk Diffusion equation Normal distribution 3 views of the same thing

  6. Hansel & Gretel With bread crumbs one can find exit in time proportional to V+E DFS/BFS

  7. Breadth First Search

  8. Breadth First Search A H B C G D E F

  9. Breadth First Search 0 A distance from A H visit(A) B C G D E F get Queue: A

  10. Breadth First Search F 1 0 A H F discovered B C G D E F Queue:

  11. Breadth First Search B 1 0 A H B discovered B C G D E F 1 Queue: F

  12. Breadth First Search C 1 0 A H C discovered B C G 1 D E F 1 Queue: F B

  13. Breadth First Search 1 G 0 A H G discovered B C G 1 1 D E F 1 Queue: F B C

  14. Breadth First Search 0 A H 1 A finished B C G 1 1 D E F 1 get Queue: F B C G

  15. Breadth First Search 0 A H 1 A alreadyvisited B C G 1 1 D E F 1 Queue: B C G

  16. Breadth First Search D 2 0 A H 1 D discovered B C G 1 1 D E F 1 Queue: B C G

  17. Breadth First Search 2 E 0 A H 1 E discovered B C G 1 1 D E 2 F 1 Queue: B C G D

  18. Breadth First Search 0 A H 1 F finished B C G 1 1 2 D E 2 F 1 get Queue: B C G D E

  19. Breadth First Search 0 A H 1 B C G 1 1 2 D E 2 F 1 Queue: C G D E

  20. Breadth First Search 0 A H 1 A alreadyvisited B C G 1 1 2 D E 2 F 1 Queue: C G D E

  21. Breadth First Search 0 A H 1 B finished B C G 1 1 2 D E 2 F 1 get Queue: C G D E

  22. Breadth First Search 0 A H 1 A alreadyvisited B C G 1 1 2 D E 2 F 1 Queue: G D E

  23. Breadth First Search 0 A H 1 C finished B C G 1 1 2 D E 2 F 1 get Queue: G D E

  24. Breadth First Search 0 A H 1 A alreadyvisited B C G 1 1 2 D E 2 F 1 Queue: D E

  25. Breadth First Search 0 A H 1 E alreadyvisited B C G 1 1 2 D E 2 F 1 Queue: D E

  26. Breadth First Search 0 A H 1 G finished B C G 1 1 2 D E 2 F 1 get Queue: D E

  27. Breadth First Search 0 A H 1 E alreadyvisited B C G 1 1 2 D E 2 F 1 Queue: E

  28. Breadth First Search 0 A H 1 F alreadyvisited B C G 1 1 2 D E 2 F 1 Queue: E

  29. Breadth First Search 0 A H 1 D finished B C G 1 1 2 D E 2 F 1 get Queue: E

  30. Breadth First Search 0 A H 1 D alreadyvisited B C G 1 1 2 D E 2 F 1 Queue:

  31. Breadth First Search 0 A H 1 F alreadyvisited B C G 1 1 2 D E 2 F 1 Queue:

  32. Breadth First Search 0 A H 1 G alreadyvisited B C G 1 1 2 D E 2 F 1 Queue:

  33. Breadth First Search H 3 0 A H 1 H discovered B C G 1 1 2 D E 2 F 1 Queue:

  34. Breadth First Search 0 A H 3 1 E finished B C G 1 1 2 D E 2 F 1 get Queue: H

  35. Breadth First Search 0 A H 3 1 E alreadyvisited B C G 1 1 2 D E 2 F 1 Queue:

  36. Breadth First Search 0 A H 3 1 H finished B C G 1 1 2 D E 2 F 1 STOP Queue:

  37. Breadth First Search 0 A distance from A H 3 1 B C G 1 1 2 D E 2 F 1

  38. Breadth-First Search

  39. a v a b c d b c d

  40. #876 Kevin Bacon #1 Rod Steiger Donald Pleasence #2 #3 Martin Sheen Barabasi

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