To draw: A complete graph with three vertices; number of choices to move to successive vertices; compare the multiplication of number choices with number of Hamilton circuits.
To draw: A complete graph with three vertices; number of choices to move to successive vertices; compare the multiplication of number choices with number of Hamilton circuits.
Solution Summary: The author compares the number of choices available to move to successive vertices with numbers of Hamilton circuits.
To draw: A complete graph with three vertices; number of choices to move to successive vertices; compare the multiplication of number choices with number of Hamilton circuits.
(b)
To determine
To draw: A complete graph with four vertices; Number of choices to move to successive vertices; Compare the multiplication of number choices with number of Hamilton circuits.
(c)
To determine
To draw: A complete graph with five and six vertices; Number of choices to move to successive vertices; Compare the multiplication of number choices with number of Hamilton circuits.
(d)
To determine
To explain: The reason for the number of Hamilton circuits in a complete graph with n vertices is
(n−1)!
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