Which of the following operations can cause an imbalance in an AVL tree?

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Question: Which of the following operations can cause an imbalance in an AVL tree?

Options:

Correct Answer: Both Insertion and Deletion

Solution:

Both insertion and deletion operations can cause an imbalance in an AVL tree, requiring rebalancing.

Which of the following operations can cause an imbalance in an AVL tree?

Which of the following operations can cause an imbalance in an AVL tree?

Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains a balance to ensure efficient operations.
Step 2: Know that an AVL tree has a balance factor for each node, which is the difference between the heights of the left and right subtrees.
Step 3: Learn that when you insert a new node, it can change the heights of the subtrees and potentially make the tree unbalanced.
Step 4: Recognize that when you delete a node, it can also change the heights of the subtrees, leading to an imbalance.
Step 5: Conclude that both insertion and deletion can cause an imbalance in an AVL tree, which means the tree may need to be rebalanced.

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