Insert the value "8" into the following Red-Black tree; draw the result. Use Double-circle to denote red nodes and single circle to denote black nodes

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
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Insert the value "8" into the following Red-Black tree; draw the result.
Use Double-circle to denote red nodes and single circle to denote black nodes.

The image presents a binary tree diagram. Here is the detailed explanation:

- **Nodes**:
  - The tree consists of six nodes, each labeled with a number: 0001, 0002, 0003, 0004, 0007, and 0010.
  
- **Structure**:
  - The root of the tree is node **0004**.
  - The root node branches into two children: **0002** (left) and **0007** (right).
  - Node **0002** further branches to two child nodes: **0001** (left) and **0003** (right).
  - Node **0007** has one child node: **0010** (right).
  
- **Node Colors**:
  - Nodes **0004**, **0002**, and **0007** are colored in gray, possibly indicating they are internal nodes or non-leaf nodes in the tree.
  - Nodes **0001**, **0003**, and **0010** are colored in red, potentially marking them as leaf nodes (nodes with no children).

This kind of diagram is often used in computer science and mathematics to represent structures such as decision trees, binary search trees, or other hierarchical data models.
Transcribed Image Text:The image presents a binary tree diagram. Here is the detailed explanation: - **Nodes**: - The tree consists of six nodes, each labeled with a number: 0001, 0002, 0003, 0004, 0007, and 0010. - **Structure**: - The root of the tree is node **0004**. - The root node branches into two children: **0002** (left) and **0007** (right). - Node **0002** further branches to two child nodes: **0001** (left) and **0003** (right). - Node **0007** has one child node: **0010** (right). - **Node Colors**: - Nodes **0004**, **0002**, and **0007** are colored in gray, possibly indicating they are internal nodes or non-leaf nodes in the tree. - Nodes **0001**, **0003**, and **0010** are colored in red, potentially marking them as leaf nodes (nodes with no children). This kind of diagram is often used in computer science and mathematics to represent structures such as decision trees, binary search trees, or other hierarchical data models.
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