**Traversing a Binary Search Tree: Preorder, Inorder, Postorder**In the image, we have a binary search tree (BST) with the following nodes:1. **Structure of the Tree:** - The root node is 15. - The left child of 15 is 8, and its right child is 20. - Node 8 has children: left child 2 and right child 11. - Node 20 has children: left child 17 and right child 22. - Node 2 has left child 1 and right child 6. - Node 6 has left child 3 and right child 7. - Node 11 has no left child and right child 12. - Node 12 has right child 14. - Node 22 has no left child and right child 27. - Node 27 has right child 30.2. **Tree Traversal Methods:** - **Preorder Traversal:** Visit the root node first, then recursively visit the left subtree, followed by the right subtree. - **Inorder Traversal:** Recursively visit the left subtree, then visit the root node, and finally visit the right subtree. (For BSTs, this results in nodes being visited in ascending order.) - **Postorder Traversal:** Recursively visit the left subtree, then the right subtree, and finally the root node.These three methods provide different ways to navigate and process the nodes of a binary search tree.

Inorder root visit nods in the following order 3,6,7,2,8,10,11,14,12,15,22,27,30,20 Preorder…

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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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Question

**Traversing a Binary Search Tree: Preorder, Inorder, Postorder**

In the image, we have a binary search tree (BST) with the following nodes:

1. **Structure of the Tree:**
- The root node is 15.
- The left child of 15 is 8, and its right child is 20.
- Node 8 has children: left child 2 and right child 11.
- Node 20 has children: left child 17 and right child 22.
- Node 2 has left child 1 and right child 6.
- Node 6 has left child 3 and right child 7.
- Node 11 has no left child and right child 12.
- Node 12 has right child 14.
- Node 22 has no left child and right child 27.
- Node 27 has right child 30.

2. **Tree Traversal Methods:**

- **Preorder Traversal:** Visit the root node first, then recursively visit the left subtree, followed by the right subtree.
- **Inorder Traversal:** Recursively visit the left subtree, then visit the root node, and finally visit the right subtree. (For BSTs, this results in nodes being visited in ascending order.)
- **Postorder Traversal:** Recursively visit the left subtree, then the right subtree, and finally the root node.

These three methods provide different ways to navigate and process the nodes of a binary search tree.

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