1. Graphical Models Chain Graphs DGMsUGMs Other Graphical Semantics Models

2. AB CD Examples: bd({C,D}) = {A,B} bd({A}) = {B} and so on…

3. AB CD Examples: bd({A}) = Ø bd({C,D}) = {A,B} cl({A}) = {A} cl({D}) = {C,B,D} and so on…

5. B C DE A

6. E B DC A F G

9. 1 3 5 4 2

10. AB C D E F GH

11. AC D B {A,B,C,D} is an ancestral set. E AC D B E {A,B,C,D} is not an ancestral set.

12. A BC Nodes in A are separated from C by B

13. A B C

14. Amoral graphsMoral graphs

15. Triangulated Graphs Not Triangulated Graphs

16. A,B,CB,C,DD,E,F

17. A D C B GFE IH A D C B GFE IH A D C B GFE IH A DAG MoralTriangulated

18. A,B,C,D B,C,D,F B,E,F D,F,G E,F,H F,G,I

19. ACB