Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 14 - Graph Theory - 14.2 Euler Paths and Euler Circuits - Concept and Vocabulary Check - Page 909: 8

Answer

Every Euler circuit is an Euler path. This statement is true.

Work Step by Step

Every Euler circuit is an Euler path. This statement is true. If an Euler path starts and ends at the same vertex, then it is called an Euler circuit. Therefore, an Euler circuit is a specific type of Euler path. Therefore, every Euler circuit is an Euler path.
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