Let G be a graph. A cycle of G that contains all the vertices in G is called a

Chapter 50, Problem 50.16

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Let G be a graph. A cycle of G that contains all the vertices in G is called a Hamiltonian cycle. a. Show that if n 5, then Cn has a Hamiltonian cycle. b. Prove that the graph in the figure does not have a Hamiltonian cycle.

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