Thinking Mathematically (6th Edition)

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

Chapter 14 - Graph Theory - 14.1 Graphs, Paths, and Circuits - Exercise Set 14.1: 46

Answer

A path can not go to vertex G from vertex D because vertex D and vertex G are not adjacent. There is no edge which connects vertex D and vertex G. Therefore, A,C,D,G is not a path.

Work Step by Step

A path is a sequence of adjacent vertices. Two vertices are adjacent if there is an edge which connects the two vertices. From vertex A, a path can go to vertex C, and then to vertex D. However, the path can not go to vertex G from vertex D because vertex D and vertex G are not adjacent. There is no edge which connects vertex D and vertex G. Therefore, A,C,D,G is not a path.
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