shortest_path¶

shortest_path
(G, source=None, target=None, weight=None)[source]¶ Compute shortest paths in the graph.
Parameters:  G (NetworkX graph) –
 source (node, optional) – Starting node for path. If not specified, compute shortest paths using all nodes as source nodes.
 target (node, optional) – Ending node for path. If not specified, compute shortest paths using all nodes as target nodes.
 weight (None or string, optional (default = None)) – If None, every edge has weight/distance/cost 1. If a string, use this edge attribute as the edge weight. Any edge attribute not present defaults to 1.
Returns: path – All returned paths include both the source and target in the path.
If the source and target are both specified, return a single list of nodes in a shortest path from the source to the target.
If only the source is specified, return a dictionary keyed by targets with a list of nodes in a shortest path from the source to one of the targets.
If only the target is specified, return a dictionary keyed by sources with a list of nodes in a shortest path from one of the sources to the target.
If neither the source nor target are specified return a dictionary of dictionaries with path[source][target]=[list of nodes in path].
Return type: list or dictionary
Examples
>>> G=nx.path_graph(5) >>> print(nx.shortest_path(G,source=0,target=4)) [0, 1, 2, 3, 4] >>> p=nx.shortest_path(G,source=0) # target not specified >>> p[4] [0, 1, 2, 3, 4] >>> p=nx.shortest_path(G,target=4) # source not specified >>> p[0] [0, 1, 2, 3, 4] >>> p=nx.shortest_path(G) # source,target not specified >>> p[0][4] [0, 1, 2, 3, 4]
Notes
There may be more than one shortest path between a source and target. This returns only one of them.
See also
all_pairs_shortest_path()
,all_pairs_dijkstra_path()
,single_source_shortest_path()
,single_source_dijkstra_path()