Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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**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.
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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.
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