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TransitiveReductionGraph

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Minimal graph preserving the reachability of a directed acyclic graph

TransitiveReductionGraph[g]
TransitiveReductionGraph[{v -> w, …}]
TransitiveReductionGraph[{1 -> 2, 1 -> 5, 2 -> 3, 3 -> 4, 4 -> 5, 3 -> 6, 4 -> 6}] → Graph[<6>, <5>]

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