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Notes

The transitive closure of a directed graph G is denoted G*.

The transitive closure G* has all the same vertices as the graph G, but it has edges representing the paths from u to v.

If there is a directed path from u to v on G, there is a directed edge from u to v on the transitive closure G*.

Big O Cost

To compute the transitive closure, we nee a way to support O(1) lookups of whether an edge exists between u and v.