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 - Exercise Set 14.2 - Page 909: 4


The path is an Euler path and an Euler circuit.

Work Step by Step

An Euler path is a path that travels through every edge of a graph exactly once. An Euler circuit is an Euler path that begins and ends at the same vertex. As we trace the path, we can see that the path travels through every edge of the graph exactly once. Therefore, the path is an Euler path. The Euler path begins and ends at the same vertex so it is an Euler circuit.
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