What are the differences between various binary search tree implementations?

What are the differences between various binary search tree implementations?

There are several implementations of binary search trees (BSTs), including standard BSTs, AVL trees, and Red-Black trees. Each has its own balancing mechanism and performance characteristics.

Can you explain how AVL trees balance themselves?

AVL trees maintain balance by ensuring that the heights of the two child subtrees of any node differ by no more than one. They perform rotations to restore balance after insertions or deletions.

What about Red-Black trees? How do they differ from AVL trees?

Red-Black trees are also self-balancing but allow for a bit more imbalance than AVL trees. They use color properties to ensure balance, which can lead to faster insertion and deletion operations compared to AVL trees.

Which one is better for search operations?

AVL trees are generally better for search operations due to their stricter balancing, leading to faster lookups. However, Red-Black trees can be more efficient for insertions and deletions.