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(Fill the blank) A Hamiltonian Path is a path in a directed graph that visits every...

(Fill the blank) A Hamiltonian Path is a path in a directed graph that visits every vertex exactly once. Describe a linear time algorithm to determine whether a directed acyclic graph G=(V, E) contains a Hamiltonian path. (Hint: It might help to draw a DAG which contains a Hamiltonian path)_________.

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Answer #1

To find whether directed acyclic graph consists of Hamiltonian path or not.

Topological sort algorithm is used to find whether DAG consists of hamitonian path or not.

In topological sort , intial vertex is selected which is not having incoming edges, we visit each vertex and push it to the stack.

And topological sort is called on all vertices with indegree zero . Finally stack contents are printed to find the path , and if all vertices are visited then Hamiltonian path exists.

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