Question: Prove that the topological sorting problem (the vertex labeling problem from Class 21) has a solution if and only if the underlying directed graph is

 Prove that the topological sorting problem (the "vertex labeling" problem from

Prove that the topological sorting problem (the "vertex labeling" problem from Class 21) has a solution if and only if the underlying directed graph is acyclic. Notes: This is a biconditional statement ("if and only if"), so there are two directions to prove. As often happens, one direction is a fair bit easier than the other. You can use the results of the previous problem as necessary

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