1. Red Black Trees
Lecture 6

2. Balanced search trees

3. Red-black trees

4. Example of a red-black tree

5. Example of a red-black tree

6. Example of a red-black tree

7. Example of a red-black tree

8. Example of a red-black tree

9. Height of a red-black tree

10. Height of a red-black tree

11. Height of a red-black tree

12. Height of a red-black tree

13. Height of a red-black tree

14. Height of a red-black tree

15. Proof (continued)

16. Query operations

17. Modifying operations

18. Rotations

19. Insertion into a red-black tree

20. Insertion into a red-black tree

21. Insertion into a red-black tree

22. Insertion into a red-black tree

23. Insertion into a red-black tree

24. Pseudocode

25. Graphical notation

26. Case 1

27. Case 2

28. Case 3

29. Analysis