Unique topological ordering.Design an algorithm to determine whether a DAG has a unique topological ordering. Hint: A DAG has a unique topological ordering if and only if there is a directed edge between each pair of consecutive vertices in a topological order (i.e., the digraph has a Hamiltonian path). If the DAG has multiple topological orderings, then a second topological order can be obtained by swapping any pair of consecutive and nonadjacent vertices.
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