Which of the following operations is not O(log n) in an AVL tree?
Practice Questions
Q1
Which of the following operations is not O(log n) in an AVL tree?
Insertion
Deletion
Searching
Traversal
Questions & Step-by-Step Solutions
Which of the following operations is not O(log n) in an AVL tree?
Step 1: Understand what O(log n) means. It refers to operations that take time proportional to the logarithm of the number of elements in a data structure.
Step 2: Know that an AVL tree is a type of self-balancing binary search tree.
Step 3: Identify the common operations on an AVL tree: insertion, deletion, searching, and traversal.
Step 4: Recognize that insertion, deletion, and searching in an AVL tree are efficient and take O(log n) time because the tree remains balanced.
Step 5: Understand that traversal means visiting every node in the tree, which takes O(n) time because you have to visit each of the n nodes.
Step 6: Conclude that the operation that is not O(log n) in an AVL tree is traversal, as it takes O(n) time.
