Which of the following operations can cause a violation of the AVL tree property
Practice Questions
Q1
Which of the following operations can cause a violation of the AVL tree property?
Insertion of a node.
Deletion of a node.
Both insertion and deletion.
Traversal of the tree.
Questions & Step-by-Step Solutions
Which of the following operations can cause a violation of the AVL tree property?
Step 1: Understand what an AVL tree is. An AVL tree is a type of binary search tree that maintains a balance condition to ensure efficient operations.
Step 2: Know the AVL tree property. The property states that for any node in the tree, the heights of the left and right subtrees can differ by at most one.
Step 3: Learn about insertion in an AVL tree. When you insert a new node, it may cause the tree to become unbalanced if the heights of the subtrees differ by more than one.
Step 4: Understand deletion in an AVL tree. When you delete a node, it can also cause the tree to become unbalanced for the same reason as insertion.
Step 5: Recognize that both operations (insertion and deletion) can lead to a violation of the AVL tree property, requiring rebalancing to restore the property.
