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: 41

Answer

G,H,I,F,G

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. A circuit is a path that begins and ends at the same vertex. From vertex G, a path can go to vertex H, then to vertex I, then to vertex F, and then to vertex G. This path is G,H,I,F,G. Since this path begins and ends at the same vertex, this path is a circuit.
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