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: 44

Answer

If the graph is connected and it does not have any circuits, then it is a tree.

Work Step by Step

A tree is a graph that is connected and does not have any circuits. In a connected graph, for any pair of vertices, there is at least one path with these two vertices as the endpoints of the path. If the graph is connected and it does not have any circuits, then it is a tree.
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