Thinking Mathematically (6th Edition)

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

Chapter 14 - Graph Theory - 14.4 Trees - Exercise Set 14.4: 57

Answer

This graph is a tree with six vertices whose degrees are 1, 1, 2, 2, 2, and 2.
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Work Step by Step

This graph is connected and does not have any circuits. Therefore, this graph is a tree. Vertex E and vertex F have degrees of 1. The other vertices have degrees of 2. This graph is a tree with six vertices whose degrees are 1, 1, 2, 2, 2, and 2.
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