Consider the AVL Tree below. Use the AVL Tree Deletion algorithm to delete 0068 from the tree. List the nodes of the resulting tree in pre-order traversal order separated by one blank character. For example, the tree below can be described in the above format as: 64 33 20 55 40 60 70 68 95 98
Consider the AVL Tree below. Use the AVL Tree Deletion algorithm to delete 0068 from the tree. List the nodes of the resulting tree in pre-order traversal order separated by one blank character. For example, the tree below can be described in the above format as: 64 33 20 55 40 60 70 68 95 98
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
Related questions
Question

Transcribed Image Text:Consider the AVL Tree shown in the diagram. You are required to use the AVL Tree Deletion algorithm to delete the node with the value 0068 from the tree.
After performing the deletion, list the nodes of the resulting tree in pre-order traversal order, separated by a single blank space. For instance, the tree before deletion can be described in pre-order format as:
64 33 20 55 40 60 70 68 95 98
### Explanation of the AVL Tree Diagram:
- **Root Node**: 0064, with a balance factor of 4.
- **Left Subtree of Root**:
- Node 0033, with a balance factor of 3.
- Left child: 0020, with a balance factor of 1.
- Right child: 0055, with a balance factor of 2.
- Left child: 0040, with a balance factor of 1.
- Right child: 0060, with a balance factor of 1.
- **Right Subtree of Root**:
- Node 0070, with a balance factor of 3.
- Left child: 0068, with a balance factor of 2.
- Right child: 0095, with a balance factor of 2.
- Right child: 0098, with a balance factor of 1.
The numbers inside each node represent the node's balance factor (the height difference between the left and right subtrees).
Use this information to correctly re-balance the tree after deleting node 0068 and perform a pre-order traversal on the updated tree.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON

Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning

Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education