Thinking Mathematically (6th Edition)

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

Chapter 14 - Graph Theory - Chapter 14 Test: 14

Answer

This graph has 24 Hamilton circuits.

Work Step by Step

The number of Hamilton circuits in a complete graph with $n$ vertices is $(n-1)!$. If the number of vertices in a complete graph is 5, the number of Hamilton circuits in the graph is $(5-1)! = 4! = 24$. This graph has 24 Hamilton circuits.
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