Let's say you used in-order traversal to print the nodes of this tree. What nodes would be printed first and order traversal? 71²1 2 6 12 1³44 8 13 18 + 23

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
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**Binary Tree and In-Order Traversal: Understanding Node Sequencing**

For this educational module, we will explore the concept of binary trees and how to utilize in-order traversal to print nodes in a specific sequence. Understanding this is essential for multiple computer science applications such as implementing efficient searching algorithms and managing hierarchical data.

### Tree Diagram Overview
The provided diagram represents a binary tree. Here, each node is denoted by a yellow box containing a numerical value. The structure starts with the root node at the top and branches out to its child nodes below.

#### Tree Structure:

```
       12
      /  \
     6   18
    / \   / \
   2   8  13 23
  / \      \  \
 1   4     19 29
```
- **Root**: The root node of this binary tree is 12.
- **Subtrees**:
  - The left subtree of the root (12) has 6 as its root.
  - The right subtree of the root (12) has 18 as its root.

### In-Order Traversal Explained
In-order traversal is a method of visiting tree nodes in a specific order:
1. Visit the left subtree.
2. Visit the root node.
3. Visit the right subtree.

Applying in-order traversal to our given binary tree, the sequence of node visits will be:

- Start from the root (12):
  - Traverse left subtree of 12 (subtree rooted at 6):
    - Traverse left subtree of 6 (subtree rooted at 2):
      - Traverse left subtree of 2, visit node 1.
      - Visit node 2.
      - Traverse right subtree of 2, visit node 4.
    - Visit node 6.
    - Traverse right subtree of 6, visit node 8.
  - Visit node 12.
  - Traverse right subtree of 12 (subtree rooted at 18):
    - Visit node 13.
    - Traverse right subtree of 18 (subtree rooted at 23):
      - Visit node 19.
      - Traverse right subtree of 23, visit node 29.

### Sequence of Visits
1. First Node: **1**
2. Second Node: **2**
3. Third Node: **4**
4. Fourth Node: **6**
5. Fifth Node: **8**
6.
Transcribed Image Text:**Binary Tree and In-Order Traversal: Understanding Node Sequencing** For this educational module, we will explore the concept of binary trees and how to utilize in-order traversal to print nodes in a specific sequence. Understanding this is essential for multiple computer science applications such as implementing efficient searching algorithms and managing hierarchical data. ### Tree Diagram Overview The provided diagram represents a binary tree. Here, each node is denoted by a yellow box containing a numerical value. The structure starts with the root node at the top and branches out to its child nodes below. #### Tree Structure: ``` 12 / \ 6 18 / \ / \ 2 8 13 23 / \ \ \ 1 4 19 29 ``` - **Root**: The root node of this binary tree is 12. - **Subtrees**: - The left subtree of the root (12) has 6 as its root. - The right subtree of the root (12) has 18 as its root. ### In-Order Traversal Explained In-order traversal is a method of visiting tree nodes in a specific order: 1. Visit the left subtree. 2. Visit the root node. 3. Visit the right subtree. Applying in-order traversal to our given binary tree, the sequence of node visits will be: - Start from the root (12): - Traverse left subtree of 12 (subtree rooted at 6): - Traverse left subtree of 6 (subtree rooted at 2): - Traverse left subtree of 2, visit node 1. - Visit node 2. - Traverse right subtree of 2, visit node 4. - Visit node 6. - Traverse right subtree of 6, visit node 8. - Visit node 12. - Traverse right subtree of 12 (subtree rooted at 18): - Visit node 13. - Traverse right subtree of 18 (subtree rooted at 23): - Visit node 19. - Traverse right subtree of 23, visit node 29. ### Sequence of Visits 1. First Node: **1** 2. Second Node: **2** 3. Third Node: **4** 4. Fourth Node: **6** 5. Fifth Node: **8** 6.
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