Note

This documents the development version of NetworkX. Documentation for the current release can be found here.

networkx.algorithms.dag.transitive_closure_dag

transitive_closure_dag(G, topo_order=None)[source]

Returns the transitive closure of a directed acyclic graph.

This function is faster than the function transitive_closure, but fails if the graph has a cycle.

The transitive closure of G = (V,E) is a graph G+ = (V,E+) such that for all v, w in V there is an edge (v, w) in E+ if and only if there is a non-null path from v to w in G.

Parameters
GNetworkX DiGraph

A directed acyclic graph (DAG)

topo_order: list or tuple, optional

A topological order for G (if None, the function will compute one)

Returns
NetworkX DiGraph

The transitive closure of G

Raises
NetworkXNotImplemented

If G is not directed

NetworkXUnfeasible

If G has a cycle

Notes

This algorithm is probably simple enough to be well-known but I didn’t find a mention in the literature.