# all_shortest_paths#

all_shortest_paths(G, source, target, weight=None, method='dijkstra')[source]#

Compute all shortest simple paths in the graph.

Parameters:
GNetworkX graph
sourcenode

Starting node for path.

targetnode

Ending node for path.

weightNone, string or function, 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. If this is a function, the weight of an edge is the value returned by the function. The function must accept exactly three positional arguments: the two endpoints of an edge and the dictionary of edge attributes for that edge. The function must return a number.

methodstring, optional (default = ‘dijkstra’)

The algorithm to use to compute the path lengths. Supported options: ‘dijkstra’, ‘bellman-ford’. Other inputs produce a ValueError. If `weight` is None, unweighted graph methods are used, and this suggestion is ignored.

Returns:
pathsgenerator of lists

A generator of all paths between source and target.

Raises:
ValueError

If `method` is not among the supported options.

NetworkXNoPath

If `target` cannot be reached from `source`.

`shortest_path`
`single_source_shortest_path`
`all_pairs_shortest_path`

Notes

There may be many shortest paths between the source and target. If G contains zero-weight cycles, this function will not produce all shortest paths because doing so would produce infinitely many paths of unbounded length – instead, we only produce the shortest simple paths.

Examples

```>>> G = nx.Graph()
>>> nx.add_path(G, [0, 1, 2])
>>> nx.add_path(G, [0, 10, 2])
>>> print([p for p in nx.all_shortest_paths(G, source=0, target=2)])
[[0, 1, 2], [0, 10, 2]]
```