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Symbols and Functions > Utility Functions >

AcyclicGraphTake

AcyclicGraphTake gives the intersection of the out-component of the first vertex with the in-component of the second vertex:

In[] := graph = BlockRandom[
  DirectedGraph[RandomGraph[{10, 10}], "Acyclic", VertexLabels -> Automatic],
  RandomSeeding -> 2
]

Out[] = ... directed acyclic graph with 10 vertices and multiple branches ...

In[] := AcyclicGraphTake[graph, {1, 9}]

Out[] = ... subgraph of the input graph with only vertices between 1 and 9 remaining ...