12 36 Node 65's balance factor is Ex: 5 Node 36's balance factor is 63 Node 90's balance factor is ŵ ↑ 65 Rotating Pickat node Pick yields a valid AVL tree. 90 95 99

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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12
36
Node 65's balance factor is Ex: 5
Node 36's balance factor is
63
Node 90's balance factor is
65
Rotating Pick at node Pick yields a valid AVL tree.
90
95
99
Transcribed Image Text:12 36 Node 65's balance factor is Ex: 5 Node 36's balance factor is 63 Node 90's balance factor is 65 Rotating Pick at node Pick yields a valid AVL tree. 90 95 99
Expert Solution
Step 1: Concept of Balancing Factor:

In AVL trees, a balancing factor is used to keep the tree's height balanced. Each node is assigned a balancing factor that represents the difference in height between its left and right subtrees. This factor helps in maintaining the tree's balance during insertions and deletions, ensuring efficient and predictable search operations. The value of balance factor always be -1, 0 or +1.

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