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 - Concept and Vocabulary Check - Page 909: 4

Answer

zero, any

Work Step by Step

A connected graph has at least one Euler circuit, which, by definition, is also an Euler path, if the graph has zero odd vertices. An Euler circuit can start and end at any vertex.
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