Which operation is performed to maintain the balance of an AVL tree after insert
Practice Questions
Q1
Which operation is performed to maintain the balance of an AVL tree after insertion?
Rotation
Recoloring
Splitting
Merging
Questions & Step-by-Step Solutions
Which operation 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 maintains balance to ensure efficient operations.
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 nodes starting from the newly inserted node up to the root. 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 and needs to be fixed.
Step 5: Determine the type of imbalance (Left-Left, Left-Right, Right-Right, Right-Left) based on the balance factors of the affected nodes.
Step 6: Perform the appropriate rotation (single or double) to restore balance to the tree.
Step 7: After the rotation, check the balance factors again to ensure the tree is balanced.
