Explanation The Hamilton circuits in a graph can be found out by visiting each vertex exactly once and then return to the initial position. It is known that a complete graph with n vertices has the ( n − 1 ) ! number of Hamilton circuits. Here, consider E → I → H as a single vertex. Therefore, n = 3

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Chapter 14.3, Problem 32E

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All the Hamilton circuits in the graph that start with E→I→H.

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Chapter 14.3, Problem 31E

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Chapter 14 Solutions

Mathematical Ideas with Integrated Review and Worksheets plus NEW MyLab Math with Pearson eText -- Access Card Package (Integrated Review Courses in MyLab Math and MyLab Statistics)

Ch. 14.1 - Vertices and Edges In Exercises 1-6, determine how...Ch. 14.1 - Vertices and Edges In Exercises 1-6, determine how...Ch. 14.1 - Vertices and Edges In Exercises 1-6, determine how...Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E Ch. 14.1 - Prob. 10E

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All the Hamilton circuits in the graph that start with E → I → H .

Solution Summary: The author explains that a complete graph with n vertices has the (n-1)! number of Hamilton circuits.

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All the Hamilton circuits in the graph that start with E→I→H.

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