Thinking Mathematically (6th Edition)

Published by Pearson

Chapter 14 - Graph Theory - 14.3 Hamilton Paths and Hamilton Circuits - Exercise Set 14.3 - Page 923: 41

Answer

The missing weight for the edge between the medical clinic and home is 5. The missing weight for the edge between the bank and the hospital is 7. The missing weight for the edge between the hospital and the dry cleaners is 4.

Work Step by Step

We can find the missing weight for the edge between the medical clinic and home. From the medical clinic, we need to move two blocks over and three blocks down. The missing weight for the edge between the medical clinic and home is 5. We can find the missing weight for the edge between the bank and the hospital. From the bank, we need to move six blocks over and one block down. The missing weight for the edge between the bank and the hospital is 7. We can find the missing weight for the edge between the hospital and the dry cleaners. From the hospital, we need to move two blocks over and two blocks down. The missing weight for the edge between the hospital and the dry cleaners is 4.

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