all_pairs_shortest_path_length#

all_pairs_shortest_path_length(G, cutoff=None)[source]#

Computes the shortest path lengths between all nodes in G.

Parameters
GNetworkX graph
cutoffinteger, optional

Depth at which to stop the search. Only paths of length at most cutoff are returned.

Returns
lengthsiterator

(source, dictionary) iterator with dictionary keyed by target and shortest path length as the key value.

Notes

The iterator returned only has reachable node pairs.

Examples

>>> G = nx.path_graph(5)
>>> length = dict(nx.all_pairs_shortest_path_length(G))
>>> for node in [0, 1, 2, 3, 4]:
...     print(f"1 - {node}: {length[1][node]}")
1 - 0: 1
1 - 1: 0
1 - 2: 1
1 - 3: 2
1 - 4: 3
>>> length[3][2]
1
>>> length[2][2]
0