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: 49

Answer

We can draw a graph with four vertices with edges AB, AC, BD, and CD. Then the degree of each vertex is 2, so each vertex is an even vertex. Since each vertex is even, this is a graph with four even vertices.
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Work Step by Step

The degree of a vertex is the number of edges connected to the vertex. If the degree of a vertex is an even number, then the vertex is an even vertex. We can draw a graph with four vertices with edges AB, AC, BD, and CD. Then the degree of each vertex is 2, so each vertex is an even vertex. Since each vertex is even, this is a graph with four even vertices.
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