## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 14 - Graph Theory - 14.2 Euler Paths and Euler Circuits - Exercise Set 14.2: 72

#### Answer

The original statement does not make sense.

#### Work Step by Step

The original statement does not make sense. An Euler path is a path in a graph that travels through every edge of the graph exactly once. Let's suppose a UPS driver modeled the delivery locations as vertices and the roads between the locations as edges. To deliver packages efficiently, the driver should try to minimize the time spent driving on the roads. However, if the driver followed an Euler path, then the driver would end up driving along every road between the locations. This would not be an efficient way to deliver packages. Since an Euler path includes every edge on a graph, it would be a bad idea for a UPS driver to follow an Euler path.

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