Which of the following operations is performed to maintain the balance of an AVL

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

Options:

Correct Answer: Rotation

Solution:

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

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

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

Step 1: Understand that an AVL tree is a type of binary search tree that keeps itself balanced.
Step 2: When you insert a new node into the AVL tree, the tree may become unbalanced.
Step 3: Check the balance factor of the tree. The balance factor is the difference in height between the left and right subtrees.
Step 4: If the balance factor is not between -1 and 1, the tree is unbalanced.
Step 5: Determine the type of imbalance (left-left, left-right, right-right, or right-left) based on where the new node was added.
Step 6: Perform the appropriate rotation(s) to restore balance. This can be a single rotation or a double rotation.
Step 7: After performing the rotation(s), the AVL tree will be balanced again.

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