In Java, the Big-O of looking for a value in an AVL tree is O(log n). Briefly explain why.
In Java, the Big-O of looking for a value in an AVL tree is O(log n). Briefly explain why.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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In Java, the Big-O of looking for a value in an AVL tree is O(log n). Briefly explain why.
Expert Solution
Step 1
AVL TREES:
- AVL trees are basically the self balancing Binary Search Trees with a condition that the difference between the heights of the left and right subtree of the tree can not be more than one for every node of the tree.
- The operational cost of various operations which are performed on the AVL trees take the time of the order O( logn ) which is quite better than O(n).
- The operations which are performed in the AVL trees are as follows:
- Insertion
- Deletion
- Search
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