What operation is performed to maintain the balance of an AVL tree after inserti
Practice Questions
Q1
What operation is performed to maintain the balance of an AVL tree after insertion?
Rotation
Traversal
Recoloring
Resizing
Questions & Step-by-Step Solutions
What operation is performed to maintain the balance of an AVL tree after insertion?
Step 1: Insert the new node into the AVL tree like you would in a regular binary search tree.
Step 2: After 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(s) to restore balance: a single rotation (left or right) or a double rotation (left-right or right-left).
Step 6: After performing the rotation(s), the AVL tree will be balanced again.
