Thinking Mathematically (6th Edition)

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

Chapter 14 - Graph Theory - 14.3 Hamilton Paths and Hamilton Circuits - Exercise Set 14.3: 25

Answer

The total weight of the Hamilton circuit is 88.

Work Step by Step

To find the total weight of the Hamilton circuit, we can simply add up the weight of each edge in the circuit. The Hamilton circuit is A,B,C,D,A. So the edges that are used in the Hamilton circuit are AB, BC, CD, and DA. The weights of these five edges are 40, 24, 10, and 14. total weight = 40 + 24 + 10 + 14 total weight = 88 The total weight of the Hamilton circuit is 88.
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