One can build a max-heap of n elements in O(n) time. True False Given a binary search tree of n nodes, one can sort the keys therein in O(n) time. True False Consider a comparison based sorting algorithm and its decision tree on n elements. Then, the path from the root to every leaf node in the tree must have N(n log n) edges. True False

One can build a max-heap of n elements in O(n) time. True False Given a binary search tree of n nodes, one can sort the keys therein in O(n) time. True False Consider a comparison based sorting algorithm and its decision tree on n elements. Then, the path from the root to every leaf node in the tree must have N(n log n) edges. True False

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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Using a self-balancing binary search tree, binary tree sort is nevertheless slower than merge sort, taking O(n log n) time in the worst case.
Consider the following alphabet with equivalent code number. Design a binary search tree of my Name Isha Tir Razia by taking its equivalent digit and provide a post order traversal of it. The code for blank space is 0.
Given an arbitrary binary tree T with integer keys stored at the nodes, design an efficient algorithm which determines whether or not T is a binary search tree.
Binary tree sort employing a self-balancing binary search tree takes O(n log n) time in the worst scenario, slower than merge sort.
Even when employing a self-balancing binary search tree to construct binary tree sort, the worst-case time required is O(n log n), making it slower than merge sort.
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In the worst-case situation, a binary tree sort that employs a self-balancing binary search tree requires temporal complexity of the kind O(n log n). Is this approach much more sluggish than merge sort?
Consider the following alphabet with equivalent code number. Design a binary search tree of name (Ahsan Nasir) by taking its equivalent digit and provide a post order traversal of it. The code for blank space is 0.
Given a sorted array of n comparable items A, create a binary search tree from the items in A which has height h <= log: n. Your algorithm must create the tree in O(n) time.