Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question
### Question 12 **When a binary search tree is balanced, it provides _________ search, addition, and removal.** 1. O(1) 2. O(logN) 3. O(N) --- **Explanation:** The question is assessing knowledge related to the time complexity of search, insertion, and deletion operations in a balanced binary search tree (BST). - **Option O(1):** This implies constant time complexity, meaning the operation time does not increase as the size of the tree increases. This is not true for BST operations. - **Option O(logN):** This implies logarithmic time complexity, which is true for balanced binary search trees. In a balanced BST, the height of the tree is kept to O(logN), ensuring efficient search, addition, and removal operations. - **Option O(N):** This implies linear time complexity, meaning the operation time increases linearly with the size of the tree. This is true for an unbalanced binary search tree but not for a balanced one. Hence, the correct answer is: **O(logN)**
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Transcribed Image Text:### Question 12 **When a binary search tree is balanced, it provides _________ search, addition, and removal.** 1. O(1) 2. O(logN) 3. O(N) --- **Explanation:** The question is assessing knowledge related to the time complexity of search, insertion, and deletion operations in a balanced binary search tree (BST). - **Option O(1):** This implies constant time complexity, meaning the operation time does not increase as the size of the tree increases. This is not true for BST operations. - **Option O(logN):** This implies logarithmic time complexity, which is true for balanced binary search trees. In a balanced BST, the height of the tree is kept to O(logN), ensuring efficient search, addition, and removal operations. - **Option O(N):** This implies linear time complexity, meaning the operation time increases linearly with the size of the tree. This is true for an unbalanced binary search tree but not for a balanced one. Hence, the correct answer is: **O(logN)**
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