Suppose the value 4 is removed from the following BST:Which of the trees below is the resulting BST?

Answered: Suppose the value 4 is removed from the…

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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Suppose the value 4 is removed from the following BST:
Which of the trees below is the resulting BST?

Expert Solution

Step 1: What is a Binary Search Tree

A binary search tree (BST) is a type of binary tree data structure that follows a specific ordering property. In a binary search tree, each node has at most two children, referred to as the left child and the right child. The key property of a binary search tree is that for any node, all the values in its left subtree are less than its value, and all the values in its right subtree are greater than its value.

This ordering property allows for efficient searching, insertion, and deletion operations. When searching for a specific value in a binary search tree, the search algorithm compares the target value with the value at the current node and proceeds to the left or right subtree based on the comparison result. This process continues until the target value is found or until a leaf node (null) is reached, indicating that the value is not present in the tree.

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