
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Transcribed Image Text:**Title: Binary Search Tree (BST) Deletion Example**
**Objective:**
Learn how to apply the Binary Search Tree (BST) deletion algorithm to remove a specific node from the tree and practice listing the nodes in pre-order traversal.
**Problem Statement:**
Use the Binary Search Tree (BST) deletion algorithm to delete node 0025 from the BST below.
**Task:**
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 format: 65 33 25 47 52 50 88 74 80 77 91.
**Binary Search Tree Diagram:**
- The root node is 0065.
- The left subtree of the root contains:
- Node 0033
- Left child: Node 0025
- Right child: Node 0047
- Right child: Node 0052
- Left child of Node 0052: Node 0050
- The right subtree of the root contains:
- Node 0088
- Left child: Node 0074
- Right child: Node 0080
- Left child: Node 0077
- Right child: Node 0091
**Instructions:**
1. Use the deletion algorithm to remove node 0025.
2. After deletion, conduct a pre-order traversal of the tree.
3. Enter the resulting sequence of nodes.
**Points:**
This exercise is worth 8 points.
Apply your understanding of tree operations to solve this problem and enhance your skills in data structure manipulation.
Expert Solution

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- Consider the AVL Tree below. Use the AVL Tree Insertion algorithm to add 0071 to 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: 50 35 30 40 55 53 70 65 75 4 0050 0035 0055 1 2 0030 0040 0053 0070 0065 0075 2.arrow_forwardFor the following questions, perform the operations in sequence. So, for example, part (b) should use part (a) as input. Follow the conventions regarding deletion and duplicate insertion used in class. Make a binary search tree by inserting the numbers 25, 14, 3, 2, 23, 75, 62, 52, 82, 79, 15, 100, 1, 18, 24, 8, 65, 5, 12, and 80 one at a time. You only need to show the final result, not each step. (a) Insert 55 into the tree. DInsert 14 into the tree.arrow_forwardUse the Binary Search Tree (BST) insertion algorithm to insert 0078 into the BST below. List the nodes of the resulting tree in pre-order traversal order separated byłone blank character. For example, the tree below can be described in the above format as: 75 53 24 57 84 77 76 82 92 0075 0053 0084 0024 0057 0077 0092 0076 0082arrow_forward
- Consider the binary search tree in the picture below. Delete key 80 and show the tree after deletion.arrow_forwardbuild a binary search tree from the following numbers ( 1, 20, 14, 18, 7, 4, 9, 3, 5, 8, 25) then show the tree after deleting 8. Basic insertion and deletion, not self-balancingarrow_forwardQuestion 3: Delete the element “66” in the following Binary Search Tree and show the resultingBST. Write the steps in deletion process.arrow_forward
- Consider the following binary search tree (BST). root 15 42 20 34 72 2 10 18 25 31 39 59 86 17 19 32 After executing add(6), on this tree, consider the parent node of the node that contains 6. What is the value of this parent node? 30arrow_forwardConsider the following binary search tree: 5 10 17 20 30 If the value 9 were inserted into this tree, where in the tree would it be inserted? ○ It would be the left child of the node containing 17 It would be the right child of the node containing 17 It would be the right child of the node containing 5 It would be the new left child of the node containing 10arrow_forward
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