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: 7

Answer

This graph is not a tree because this graph has a circuit.

Work Step by Step

A tree is a graph that is connected and has no circuits. A graph is connected when there is a path between every pair of vertices. Let's consider the path E,F,G,E. This path starts and ends at the same vertex, so it is a circuit. This graph has a circuit. Since this graph has a circuit, this graph is not a tree.
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