networkx.algorithms.dag.transitive_closure¶
-
transitive_closure(G, reflexive=False)[source]¶ Returns transitive closure of a directed graph
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 path from v to w in G.
Handling of paths from v to v has some flexibility within this definition. A reflexive transitive closure creates a self-loop for the path from v to v of length 0. The usual transitive closure creates a self-loop only if a cycle exists (a path from v to v with length > 0). We also allow an option for no self-loops.
- Parameters
G (NetworkX DiGraph) – A directed graph
reflexive (Bool or None, optional (default: False)) – Determines when cycles create self-loops in the Transitive Closure. If True, trivial cycles (length 0) create self-loops. The result is a reflexive tranistive closure of G. If False (the default) non-trivial cycles create self-loops. If None, self-loops are not created.
- Returns
The transitive closure of
G- Return type
NetworkX DiGraph
- Raises
NetworkXNotImplemented – If
Gis not directed
References
- TODO this function applies to all directed graphs and is probably misplaced
here in dag.py