Which operation is performed to maintain the balance of an AVL tree after an ins

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Question: Which operation is performed to maintain the balance of an AVL tree after an insertion?

Options:

Correct Answer: Rotation

Solution:

After an insertion in an AVL tree, rotations (single or double) are performed to maintain the balance of the tree.

Which operation is performed to maintain the balance of an AVL tree after an insertion?

Which operation is performed to maintain the balance of an AVL tree after an insertion?

Step 1: Insert the new node into the AVL tree like you would in a regular binary search tree.
Step 2: After the insertion, check the balance factor of each node starting from the newly inserted node up to the root. The balance factor is calculated as the height of the left subtree minus the height of the right subtree.
Step 3: If the balance factor of any node is greater than 1 or less than -1, it means the tree is unbalanced.
Step 4: Determine the type of imbalance (Left-Left, Left-Right, Right-Right, or Right-Left) based on the balance factors of the affected nodes.
Step 5: Perform the appropriate rotation (single or double) to restore balance to the tree.

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