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: 24

Answer

The even vertices are vertex A and vertex B. The odd vertices are vertex C, vertex D, vertex E, and vertex F.

Work Step by Step

An even vertex is a vertex with a degree that is an even number. An odd vertex is a vertex with a degree that is an odd number. The degree of vertex A is 2, so vertex A is an even vertex. The degree of vertex B is 2, so vertex B is an even vertex. The degree of vertex C is 3, so vertex C is an odd vertex. The degree of vertex D is 3, so vertex D is an odd vertex. The degree of vertex E is 3, so vertex E is an odd vertex. The degree of vertex F is 1, so vertex F is an odd vertex.
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