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Traversing a binary search tree: preorder, inorder, posto 20 610 12 22 30 14 (3 7

Traversing a binary search tree: preorder, inorder, posto 20 610 12 22 30 14 (3 7

Database System Concepts
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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**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.
Transcribed Image Text:**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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