In an AVL tree, what operation is performed when a node becomes unbalanced after an insertion?
Practice Questions
1 question
Q1
In an AVL tree, what operation is performed when a node becomes unbalanced after an insertion?
Rotation
Traversal
Deletion
Rebalancing
When a node becomes unbalanced after an insertion, a rotation (single or double) is performed to restore balance.
Questions & Step-by-step Solutions
1 item
Q
Q: In an AVL tree, what operation is performed when a node becomes unbalanced after an insertion?
Solution: When a node becomes unbalanced after an insertion, a rotation (single or double) is performed to restore balance.
Steps: 5
Step 1: Understand that an AVL tree is a type of binary search tree that maintains balance.
Step 2: After inserting a new node, check the balance factor of the nodes starting from the newly inserted node up to the root.
Step 3: If the balance factor of any node is not between -1 and 1, it means that the tree is unbalanced.
Step 4: Determine the type of imbalance (Left-Left, Left-Right, Right-Right, or Right-Left) based on the position of the newly inserted node.
Step 5: Perform the appropriate rotation to restore balance: a single rotation for Left-Left or Right-Right, and a double rotation for Left-Right or Right-Left.
