Question: 6. DAG: A Hamiltonian path in a graph is a path that visits every vertex exactly once. Show that a DAG (directed acyclic graph) has

6. DAG: A Hamiltonian path in a graph is a path

6. DAG: A Hamiltonian path in a graph is a path that visits every vertex exactly once. Show that a DAG (directed acyclic graph) has a hamiltonian path if and only if it has just one topological ordering (you may assume the graph is connected). Remember this is an if and only if proof, so show both sides. Give an O(m + n) algorithm to find whether a DAG has a hamiltonian path

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