Question: Finding the topological order: By implementation of the decrease-and-conquer technique: repeatedly, identify in a remaining digraph a source, which is a vertex with no incoming

Finding the topological order: By implementation of the decrease-and-conquer technique: repeatedly, identify in a remaining digraph a source, which is a vertex with no incoming edges, and delete it along with all the edges outgoing from it. The order in which the vertices are deleted yields a solution to the topological sorting problem. The key step here is to find the source, is it possible that a nonempty dag have no sources? Hint use contradiction proof.

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