In each case, find the value of N. (a) KN has 720 distinct Hamilton circuits. (b) KN has

Chapter 6, Problem 26

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QUESTION:

In each case, find the value of N. (a) KN has 720 distinct Hamilton circuits. (b) KN has 66 edges. (c) KN has 80,200 edges.

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QUESTION:

In each case, find the value of N. (a) KN has 720 distinct Hamilton circuits. (b) KN has 66 edges. (c) KN has 80,200 edges.

ANSWER:

Step 1 of 3

We know that a complete graph with vertices hasHamiltonian circuits.

To find the value of , given that has 720 distinct Hamiltonian circuits.

The number of Hamiltonian circuits in is .

Accordingly,

Hence, the value of is 7.

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