Binary trees. In this problem the height of a tree is defined as the number of the nodes, including the root, on the longest path from the root to a leaf. (i) What is the maximum number of nodes in a binary tree of height h? Elaborate. (ii) What is the minimum number of nodes in a binary tree of height h? Elaborate. (iii) What is the maximum height of a binary tree containing n nodes? Elaborate. (iv) What is the minimum height of a binary tree containing n nodes? Elaborate.
Binary trees. In this problem the height of a tree is defined as the number of the nodes, including the root, on the longest path from the root to a leaf. (i) What is the maximum number of nodes in a binary tree of height h? Elaborate. (ii) What is the minimum number of nodes in a binary tree of height h? Elaborate. (iii) What is the maximum height of a binary tree containing n nodes? Elaborate. (iv) What is the minimum height of a binary tree containing n nodes? Elaborate.
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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Problem 2: Binary trees. In this problem the height of a tree is defined as the number
of the nodes, including the root, on the longest path from the root to a leaf.
(i) What is the maximum number of nodes in a binary tree of height h? Elaborate.
(ii) What is the minimum number of nodes in a binary tree of height h? Elaborate.
(iii) What is the maximum height of a binary tree containing n nodes? Elaborate.
(iv) What is the minimum height of a binary tree containing n nodes? Elaborate.
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