Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)

3rd Edition

ISBN: 9780134689555

Author: Edgar Goodaire, Michael Parmenter

Publisher: PEARSON

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Textbook Question

Chapter 8, Problem 4RE

Suppose we want an algorithm that, for an input of integers a 1 , a 2 , ... a n , outputs the largest and second largest numbers of these. It is proposed to sort the list in decreasing order and to output the first two intergers of the second list.

In terms of comparisons, what is the best complexity function for this algorithm?
Is there a better way to proceed? Explain and, if the answer is yes, describe a better algorithm.

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Chapter 8, Problem 3RE

Chapter 8, Problem 5RE

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Chapter 8 Solutions

Discrete Mathematics with Graph Theory (Classic Version) (3rd Edition) (Pearson Modern Classics for Advanced Mathematics Series)

Ch. 8.1 - Prob. 1TFQ Ch. 8.1 - Prob. 2TFQ Ch. 8.1 - Prob. 3TFQ Ch. 8.1 - Prob. 4TFQ Ch. 8.1 - Prob. 5TFQ Ch. 8.1 - Prob. 6TFQ Ch. 8.1 - Prob. 7TFQ Ch. 8.1 - Prob. 8TFQ Ch. 8.1 - Prob. 9TFQ Ch. 8.1 - Prob. 10TFQ

Ch. 8.1 - Prob. 1E Ch. 8.1 - Prob. 2E Ch. 8.1 - Prob. 3E Ch. 8.1 - Prob. 4E Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - Prob. 10E Ch. 8.1 - Prob. 11E Ch. 8.1 - Prob. 12E Ch. 8.1 - Prob. 13E Ch. 8.1 - Prob. 14E Ch. 8.1 - Prob. 15E Ch. 8.1 - Prob. 16E Ch. 8.1 - Prob. 17E Ch. 8.1 - Prob. 18E Ch. 8.1 - Prob. 19E Ch. 8.1 - Prob. 20E Ch. 8.2 - Prob. 1TFQ Ch. 8.2 - Prob. 2TFQ Ch. 8.2 - Prob. 3TFQ Ch. 8.2 - Prob. 4TFQ Ch. 8.2 - Prob. 5TFQ Ch. 8.2 - Prob. 6TFQ Ch. 8.2 - Prob. 7TFQ Ch. 8.2 - Prob. 8TFQ Ch. 8.2 - Prob. 9TFQ Ch. 8.2 - Prob. 10TFQ Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - 4. Find an algorithm for finding the smallest...Ch. 8.2 - Prob. 5E Ch. 8.2 - 6. (a) [BB] Justify the statement made in...Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E Ch. 8.2 - Prob. 11E Ch. 8.2 - Prob. 12E Ch. 8.2 - Prob. 13E Ch. 8.2 - Prob. 14E Ch. 8.2 - Prob. 15E Ch. 8.2 - Prob. 16E Ch. 8.2 - Prob. 17E Ch. 8.2 - Prob. 18E Ch. 8.2 - Prob. 19E Ch. 8.2 - Prob. 20E Ch. 8.2 - Prob. 21E Ch. 8.2 - Prob. 22E Ch. 8.2 - Prob. 23E Ch. 8.2 - Prob. 24E Ch. 8.2 - Prob. 25E Ch. 8.2 - The Russian peasant method is used to multiply two...Ch. 8.2 - Prob. 27E Ch. 8.2 - Prob. 28E Ch. 8.3 - Prob. 1TFQ Ch. 8.3 - Prob. 2TFQ Ch. 8.3 - (Answers can be found in the back of the book.)...Ch. 8.3 - Prob. 4TFQ Ch. 8.3 - Prob. 5TFQ Ch. 8.3 - (Answers can be found in the back of the book.) 6....Ch. 8.3 - Prob. 7TFQ Ch. 8.3 - Prob. 8TFQ Ch. 8.3 - Prob. 9TFQ Ch. 8.3 - Prob. 10TFQ Ch. 8.3 - Prob. 1E Ch. 8.3 - Prob. 2E Ch. 8.3 - Describe a ternary search algorithm, which...Ch. 8.3 - Prob. 4E Ch. 8.3 - Prob. 5E Ch. 8.3 - Prob. 6E Ch. 8.3 - Prob. 7E Ch. 8.3 - Prob. 8E Ch. 8.3 - Prob. 9E Ch. 8.3 - Prob. 10E Ch. 8.3 - Prob. 11E Ch. 8.3 - Prob. 12E Ch. 8.3 - Prob. 13E Ch. 8.3 - Prob. 14E Ch. 8.3 - Prob. 15E Ch. 8.3 - Prob. 16E Ch. 8.3 - Prob. 17E Ch. 8.3 - [BB] Show the steps involved in the application of...Ch. 8.3 - Prob. 19E Ch. 8.3 - The Binary search Algorithm we have presented...Ch. 8.3 - Prob. 21E Ch. 8.3 - Prob. 22E Ch. 8.3 - Prob. 23E Ch. 8.3 - Prob. 24E Ch. 8.3 - Prob. 25E Ch. 8.3 - Prob. 26E Ch. 8.4 - (Answers can be found in the back of the book.) 1....Ch. 8.4 - Prob. 2TFQ Ch. 8.4 - Prob. 3TFQ Ch. 8.4 - Prob. 4TFQ Ch. 8.4 - Prob. 5TFQ Ch. 8.4 - Prob. 6TFQ Ch. 8.4 - Prob. 7TFQ Ch. 8.4 - Prob. 8TFQ Ch. 8.4 - Prob. 9TFQ Ch. 8.4 - Prob. 10TFQ Ch. 8.4 - Prob. 1E Ch. 8.4 - Use the procedure outlined in this section to list...Ch. 8.4 - Prob. 3E Ch. 8.4 - Prob. 4E Ch. 8.4 - Prob. 5E Ch. 8.4 - Prob. 6E Ch. 8.4 - Prob. 7E Ch. 8.4 - 8. (a) List, in the lexicographic order, the...Ch. 8.4 - Prob. 9E Ch. 8.4 - Prob. 10E Ch. 8.4 - Prob. 11E Ch. 8.4 - Prob. 12E Ch. 8 - Describe how Horners Algorithm evaluates f(x) when...Ch. 8 - Prob. 2RE Ch. 8 - 3. Let be an integer, let , and let be a subset of...Ch. 8 - Suppose we want an algorithm that, for an input of...Ch. 8 - Prob. 5RE Ch. 8 - Prob. 6RE Ch. 8 - Prob. 7RE Ch. 8 - Prob. 8RE Ch. 8 - (Requires a little knowledge of calculus) Show...Ch. 8 - Prob. 10RE Ch. 8 - Prob. 11RE Ch. 8 - 12. Sort the list 9,-3,1,0,-4,5,3 into increasing...Ch. 8 - 13. In the lexicographic ordering of all...Ch. 8 - Prob. 14RE

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Solution Summary: The author explains the best complexity function for the algorithm. The proposed algorithm sorts the list in decreasing order and outputs the first two integers of the sorted list.

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Chapter 8 Solutions