What is the primary operation performed to maintain balance in an AVL tree after

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Question: What is the primary operation performed to maintain balance in an AVL tree after insertion?

Options:

Correct Answer: Rotation

Solution:

Rotations (single or double) are performed to maintain balance in an AVL tree after an insertion.

What is the primary operation performed to maintain balance in an AVL tree after insertion?

What is the primary operation performed to maintain balance in an AVL tree after insertion?

Step 1: Understand that an AVL tree is a type of binary search tree that maintains balance.
Step 2: Know that balance means the heights of the left and right subtrees of any node differ by at most one.
Step 3: When you insert a new node, the tree may become unbalanced.
Step 4: Check the balance factor of the nodes starting from the newly inserted node up to the root.
Step 5: If the balance factor is greater than 1 or less than -1, the tree is unbalanced.
Step 6: Determine the type of imbalance (left-left, left-right, right-right, right-left).
Step 7: Perform the appropriate rotation (single or double) to restore balance.
Step 8: A single rotation is used for left-left or right-right imbalances, while a double rotation is used for left-right or right-left imbalances.

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