Which operation is more expensive in terms of time complexity in AVL trees compa

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Question: Which operation is more expensive in terms of time complexity in AVL trees compared to Red-Black trees?

Options:

Correct Answer: Deletion

Solution:

Deletion in AVL trees can be more expensive due to the need for multiple rotations to maintain balance.

Which operation is more expensive in terms of time complexity in AVL trees compared to Red-Black trees?

Which operation is more expensive in terms of time complexity in AVL trees compared to Red-Black trees?

Step 1: Understand what AVL trees and Red-Black trees are. Both are types of self-balancing binary search trees.
Step 2: Know that both trees maintain balance to ensure efficient operations like insertion, deletion, and searching.
Step 3: Learn that when you delete a node from a tree, it may become unbalanced.
Step 4: In AVL trees, after deletion, you may need to perform multiple rotations to restore balance.
Step 5: In Red-Black trees, you typically need fewer rotations to maintain balance after deletion.
Step 6: Conclude that deletion in AVL trees can be more expensive in terms of time complexity compared to Red-Black trees because of the need for multiple rotations.

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