In Java, the Big-O of looking for a value in an AVL tree is O(log n). Briefly explain why.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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.

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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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