What are some advanced topics in C++ binary search trees?

What are some advanced topics in C++ binary search trees?

Some advanced topics include self-balancing trees, tree rotations, and the implementation of AVL and Red-Black trees.

Can you explain how AVL trees maintain balance?

AVL trees maintain balance by ensuring that the heights of the two child subtrees of any node differ by at most one. Rotations are performed to restore balance after insertions or deletions.

What are tree rotations and why are they important?

Tree rotations are operations that change the structure of the tree while preserving the in-order sequence of the elements. They are crucial for maintaining balance in self-balancing trees like AVL and Red-Black trees.

How do Red-Black trees differ from AVL trees?

Red-Black trees allow for a more relaxed balancing compared to AVL trees, which can lead to faster insertion and deletion operations, while AVL trees provide stricter balance for faster lookups.