Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 10 - Graphs and Trees - Exercise Set 10.1 - Page 640: 19

Answer

This graph does not exist

Work Step by Step

The proposed graph would have an odd total degree. However, since every connection adds two to the total degree of the graph, which starts at 0, this is impossible, so no such graph can exist.
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