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: 54

Answer

The statement makes sense.

Work Step by Step

The statement makes sense. Using the shortest possible line length to connect ten towns with telephone lines involves finding the minimum spanning tree. A minimum spanning tree includes all vertices on a graph and it is connected, which means that all ten towns will be connected by telephone lines. Also, the minimum spanning tree is the spanning tree with the smallest total weight, which means that the telephone line that is used to connect the ten towns will use the shortest possible length.
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