What is the time complexity of AVL tree operations?

What is the time complexity of AVL tree operations?

The time complexity of AVL tree operations like insertion, deletion, and lookup is O(log n) due to its balanced nature.

Why is the time complexity O(log n)?

AVL trees maintain balance through rotations, ensuring that the height remains logarithmic relative to the number of nodes.

Can you explain how rotations work in AVL trees?

Sure! Rotations are operations that adjust the tree structure to maintain balance after insertions or deletions.

What are the different types of rotations?

There are four types of rotations: single right, single left, double right-left, and double left-right rotations.

How do AVL trees compare to other self-balancing trees?

AVL trees provide faster lookups than Red-Black trees but may have slower insertions and deletions due to more rotations.