Thinking Mathematically (6th Edition)

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

Chapter 14 - Graph Theory - 14.2 Euler Paths and Euler Circuits - Exercise Set 14.2: 70

Answer

The original statement does not make sense.

Work Step by Step

The original statement does not make sense. According to Euler's theorem, if a graph has zero odd vertices, then the graph has at least one Euler path and at least one Euler circuit. If a graph has exactly two odd vertices, then the graph has at least one Euler path. We can use Euler's theorem to determine if a graph has Euler paths or Euler circuits. However, Euler's theorem does not help us find the specific Euler paths or Euler circuits in the graph. To find the Euler paths or Euler circuits, we can use Fleury's Algorithm. This algorithm gives us a method to find Euler's paths or Euler's circuits in a graph.
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