Question: Let G= (V, E) be a directed a cyclic graph. A Hamiltonian path in G is a path which visits each vertex of V exactly

Let G= (V, E) be a directed a cyclic graph. A Hamiltonian path in G is a path which visits each vertex of V exactly once. Prove the following property:

G has a Hamiltonian path

if and only if

G has a unique topological ordering.

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