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
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
Section: Chapter Questions
Problem 1PE
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb04829d0-4645-426e-bf1a-7ada40b0786f%2F8e4e0c06-3746-4c4c-b7b3-7b2e0c615d8b%2Fxqbyegv_processed.jpeg&w=3840&q=75)
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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