1. Topic 12 Graphs 1

2. Graphs Definition: Two types:

3. Undirected

4. Directed

5. Examples/Applications

6. Transportation Networks Source: pages.cs.wisc.edu Shortest path?

7. Vacuum World (from AI) Source: centurion2.comcenturion2.com What belief states could we be in if we do a certain sequence of actions?

8. Social Network Source: infosthetics.cominfosthetics.com Are you an introvert? Who are you most friendly with?

9. Graphical Models (from machine learning) Source: wikipedia.org What was the most likely sequence of weather given the actions (walking, shopping, cleaning) on those days?

10. Graphical Models Source: PRML by Christopher Bishop What is the most probable configuration that created this image?

11. More Definitions Path: Length:

12. Cycle: Self-loop:

13. Incident edges

14. Simple graph: Acyclic graph:

15. Subgraph: Forest: Tree

16. Connected: Complete graph:

17. Weighted graph:

18. Graph Representations

19. Adjacency Matrix (undirected)

20. Adjacency Matrix (directed) Pros: Cons:

21. Adjaceny list (undirected)

22. Adjaceny list (directed)

23. Adjacency List Costs Space: Searching for edge between nodes: Adjacency check:

24. Graph Search/Traversals How do get from one node to another? Why?

25. Breadth First Search

27. Implementing BFS

30. Depth-First Search

31. Recursive Algorithm

32. Iterative Algorithm