Thinking Mathematically (6th Edition)

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

Chapter 14 - Graph Theory - 14.4 Trees - Exercise Set 14.4: 53

Answer

The statement does not make sense.

Work Step by Step

The statement does not make sense. If the route to run errands starts at home and ends at home, then the path will be a circuit. However, a tree can not have a circuit. Therefore, the route to run errands can not follow a spanning tree. To find the shortest route to run errands, we need to find the Hamilton circuit with the smallest weight. We need to solve the salesperson problem, as running errands to various locations is equivalent to the salesperson problem. The optimal solution to the salesperson problem is the Hamilton circuit with the smallest weight.
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