In an AVL tree, what operation is performed when a node becomes unbalanced after

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Question: In an AVL tree, what operation is performed when a node becomes unbalanced after an insertion?

Options:

Correct Answer: Rotation

Solution:

When a node becomes unbalanced after an insertion, a rotation (single or double) is performed to restore balance.

In an AVL tree, what operation is performed when a node becomes unbalanced after an insertion?

In an AVL tree, what operation is performed when a node becomes unbalanced after an insertion?

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.

AVL Tree Balancing – AVL trees maintain balance through rotations after insertions or deletions to ensure O(log n) time complexity for operations.
Rotations – Single and double rotations are techniques used to restore balance in an AVL tree when a node becomes unbalanced.