Thinking Mathematically (6th Edition)

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

Chapter 10 - Geometry - 10.7 Beyond Euclidean Geometry - Exercise Set 10.7 - Page 676: 5

Answer

According to the rules of traversability of the graph theory, a graph is traversable if there are two odd vertices. It is not traversable if there are more than two odd vertices. In the given figure there are four odd vertices (A, B, D,and E, because the number of edges attached to these vertices is odd) and only one even vertex (C, because the number of edges attached to this vertex is even). Hence, the given figure is not traversable.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.