Which operation may require rebalancing in an AVL tree?

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Question: Which operation may require rebalancing in an AVL tree?

Options:

Correct Answer: Insertion

Solution:

Insertion may require rebalancing in an AVL tree if it causes the tree to become unbalanced.

Which operation may require rebalancing in an AVL tree?

Which operation may require rebalancing in an AVL tree?

Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains balance to ensure efficient operations.
Step 2: Know that an AVL tree is balanced if the heights of the two child subtrees of any node differ by no more than one.
Step 3: Learn that when you insert a new node into an AVL tree, it can change the heights of the nodes and potentially make the tree unbalanced.
Step 4: Identify that if the tree becomes unbalanced after an insertion, it needs to be rebalanced to restore the AVL property.
Step 5: Recognize that rebalancing can be done using rotations (single or double) to adjust the structure of the tree.

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