topological sort would cover every vertex once. The path given by
Topological sort would be the answer. We can also calculate the vertices
given by topological sort and compare it with given vertices. if it is same
then graph G does contain a directed path that touches every vertex exactly
once.

On Mon, Jul 12, 2010 at 10:08 AM, Love-143 <[email protected]> wrote:

> Give a linear-time algorithm for the following task.
>
> Input: : A directed acyclic graph G (V,E)
> Question: Does G contain a directed path that touches every vertex exactly
> once?
>
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