Bureau of Transportation Statistics (BTS)
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TABLE 1 Number of Directed Acyclic Graphs (DAGs) as a Function of the Number of Nodes (G)

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G (n) DAGS
1 1
2 3
3 25
4 543
5 29,281
6 3,781,503
7 1.1 x 10^9
8 7.8 x 10^11
9 1.2 x 10^15
10 4.2 x 10^18