## Outline

- Review homework and do some tree exercises
- Introduce tree balancing
- Introduce red-black trees
- Basic properties
    - Root property: the root is black
    - External property: every nil child pointer is considered a black node
    - Internal property: children and parents of a red node are black
    - Depth property: all nodes have the same black depth
- Insertion and balancing algorithms
- Assignment: implement red-black tree balancing

## Resources

- [Red-black tree - Wikipedia](https://en.wikipedia.org/wiki/Red–black_tree)