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: 26

Answer

Vertex C, vertex E, and vertex F are adjacent to vertex D.

Work Step by Step

Two vertices are adjacent if there is an edge which connects the two vertices. There is an edge which connects vertex D and vertex C, so vertex C is adjacent to vertex D. There is an edge which connects vertex D and vertex E, so vertex E is adjacent to vertex D. There is an edge which connects vertex D and vertex F, so vertex F is adjacent to vertex D. Vertex C, vertex E, and vertex F are adjacent to vertex D.
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