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

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

Options:

Correct Answer: Rotations

Solution:

Rotations are used to maintain the balance of an AVL tree after insertion or deletion operations.

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

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

Step 1: Understand what an AVL tree is. It is a type of binary search tree that keeps itself balanced.
Step 2: Know that after inserting a new node, the tree might 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: Identify the type of imbalance (Left-Left, Left-Right, Right-Right, Right-Left).
Step 6: Perform the appropriate rotation to restore balance. There are four types of rotations: single right rotation, single left rotation, double right-left rotation, and double left-right rotation.
Step 7: After performing the rotation, the tree should be balanced again.

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