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Deletion The following is pseudo-code for deletion. Deletion in AVL Tree if (empty subtree) { set success false return } // end if if (deleteKey < root) { leftSubtree=AVLDelete (left subtree, deleteKey, success) if (tree shorter) { leftSubtree deleteRightBalance (root) } // end if elseif (deleteKey > root) { rightSubtree=AVLDelete (root->right, deleteKey, success) if (tree shorter) delete LeftBalance (root) root }// end elseif } else { delete node; } // end else

Deletion The following is pseudo-code for deletion. Deletion in AVL Tree if (empty subtree) { set success false return } // end if if (deleteKey < root) { leftSubtree=AVLDelete (left subtree, deleteKey, success) if (tree shorter) { leftSubtree deleteRightBalance (root) } // end if elseif (deleteKey > root) { rightSubtree=AVLDelete (root->right, deleteKey, success) if (tree shorter) delete LeftBalance (root) root }// end elseif } else { delete node; } // end else

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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Write a simple C++ program to simulate the deletion algorithm.
### Deletion The following is pseudo-code for deletion. #### Deletion in AVL Tree ```pseudo if (empty subtree) { set success false return } // end if if (deleteKey < root) { leftSubtree = AVLDelete (left subtree, deleteKey, success) if (tree shorter) { leftSubtree = deleteRightBalance (root) } // end if } elseif (deleteKey > root) { rightSubtree = AVLDelete (root->right, deleteKey, success) if (tree shorter) { root = deleteLeftBalance (root) } // end elseif } else { delete node; } // end else ``` Explanation of Steps: 1. **Check for Empty Subtree:** If the subtree is empty, the deletion is unsuccessful and the function returns. 2. **Key Comparison:** Compare the `deleteKey` with the `root` key. - **If `deleteKey` is less than `root`:** - Recursively call `AVLDelete` on the left subtree with the `deleteKey`. - Check if the tree height becomes shorter. - If so, apply the `deleteRightBalance` on the `root`. - **If `deleteKey` is greater than `root`:** - Recursively call `AVLDelete` on the right subtree with the `deleteKey`. - Check if the tree height becomes shorter. - If so, apply the `deleteLeftBalance` on the `root`. 3. **Key Found:** - If the `deleteKey` matches the `root` key, delete the node. This pseudo-code ensures that the AVL tree maintains its balanced property after the deletion operation.
Transcribed Image Text:### Deletion The following is pseudo-code for deletion. #### Deletion in AVL Tree ```pseudo if (empty subtree) { set success false return } // end if if (deleteKey < root) { leftSubtree = AVLDelete (left subtree, deleteKey, success) if (tree shorter) { leftSubtree = deleteRightBalance (root) } // end if } elseif (deleteKey > root) { rightSubtree = AVLDelete (root->right, deleteKey, success) if (tree shorter) { root = deleteLeftBalance (root) } // end elseif } else { delete node; } // end else ``` Explanation of Steps: 1. **Check for Empty Subtree:** If the subtree is empty, the deletion is unsuccessful and the function returns. 2. **Key Comparison:** Compare the `deleteKey` with the `root` key. - **If `deleteKey` is less than `root`:** - Recursively call `AVLDelete` on the left subtree with the `deleteKey`. - Check if the tree height becomes shorter. - If so, apply the `deleteRightBalance` on the `root`. - **If `deleteKey` is greater than `root`:** - Recursively call `AVLDelete` on the right subtree with the `deleteKey`. - Check if the tree height becomes shorter. - If so, apply the `deleteLeftBalance` on the `root`. 3. **Key Found:** - If the `deleteKey` matches the `root` key, delete the node. This pseudo-code ensures that the AVL tree maintains its balanced property after the deletion operation.
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