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Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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### Construct the AVL Tree for the Following Dataset To construct an AVL tree from the given dataset, we need to ensure that the tree is balanced after each insertion. Here is the dataset provided: ``` -43, 61, 52, 69, 29, 37, 16, 86, 32, 35 ``` An AVL (Adelson-Velsky and Landis) tree is a type of self-balancing binary search tree. Each node in an AVL tree maintains a balance factor, which is the difference in height between the left and right subtrees of the node. A balance factor of -1, 0, or +1 is allowed to ensure the tree remains balanced. **Step-by-Step Construction:** 1. **Insert -43:** - Tree: ``` -43 ``` 2. **Insert 61:** - Tree: ``` -43 \ 61 ``` 3. **Insert 52:** - Tree: ``` -43 \ 61 / 52 ``` 4. **Insert 69:** - Tree: ``` -43 \ 61 / \ 52 69 ``` 5. **Insert 29:** - Tree: ``` -43 / \ 29 61 / \ 52 69 ``` 6. **Insert 37:** - Tree: ``` -43 / \ 29 61 \ / \ 37 52 69 ``` 7. **Insert 16:** - Tree: ``` -43 / \ 29 61 / \ / \ 16 37 52 69 ``` 8. **Insert 86:** - Tree: ``` -43 / \ 29 61 / \ / \ 16 37 52 69 \ 86 ``` 9. **Insert 32:** - Tree: ``` -43 / \ 29 61 /
Transcribed Image Text:### Construct the AVL Tree for the Following Dataset To construct an AVL tree from the given dataset, we need to ensure that the tree is balanced after each insertion. Here is the dataset provided: ``` -43, 61, 52, 69, 29, 37, 16, 86, 32, 35 ``` An AVL (Adelson-Velsky and Landis) tree is a type of self-balancing binary search tree. Each node in an AVL tree maintains a balance factor, which is the difference in height between the left and right subtrees of the node. A balance factor of -1, 0, or +1 is allowed to ensure the tree remains balanced. **Step-by-Step Construction:** 1. **Insert -43:** - Tree: ``` -43 ``` 2. **Insert 61:** - Tree: ``` -43 \ 61 ``` 3. **Insert 52:** - Tree: ``` -43 \ 61 / 52 ``` 4. **Insert 69:** - Tree: ``` -43 \ 61 / \ 52 69 ``` 5. **Insert 29:** - Tree: ``` -43 / \ 29 61 / \ 52 69 ``` 6. **Insert 37:** - Tree: ``` -43 / \ 29 61 \ / \ 37 52 69 ``` 7. **Insert 16:** - Tree: ``` -43 / \ 29 61 / \ / \ 16 37 52 69 ``` 8. **Insert 86:** - Tree: ``` -43 / \ 29 61 / \ / \ 16 37 52 69 \ 86 ``` 9. **Insert 32:** - Tree: ``` -43 / \ 29 61 /
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