   Chapter 10.5, Problem 5TY ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# If T is a binary tree that has t leaves and height h, then t and h are related by the inequality .

To determine

To fill the blank in the statement, “If T is a binary tree that has t leaves and height h, then t and h are related by the inequality ______.”

Explanation

Given information:

T is a binary tree with t number of leaves and the height is h.

If this rooted tree is a binary tree, in a particular level the maximum number of vertices we obtain is 2 to the power of the level number. For an example, consider the level number one of a binary tree. Then, the parent vertex would be the root and the maximum number of children is 2. Hence,

The number of vertices in level 121

By the height of a rooted tree we denote the maximum number of levels

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