single_source_bellman_ford_path_length

single_source_bellman_ford_path_length(G, source, cutoff=None, weight='weight')[source]

Compute the shortest path length between source and all other reachable nodes for a weighted graph.

Parameters:
  • G (NetworkX graph)
  • source (node label) – Starting node for path
  • weight (string, optional (default=’weight’)) – Edge data key corresponding to the edge weight.
  • cutoff (integer or float, optional) – Depth to stop the search. Only paths of length <= cutoff are returned.
Returns:

length – (target, shortest path length) iterator

Return type:

iterator

Examples

>>> G = nx.path_graph(5)
>>> length = dict(nx.single_source_bellman_ford_path_length(G, 0))
>>> length[4]
4
>>> print(length)
{0: 0, 1: 1, 2: 2, 3: 3, 4: 4}

Notes

Edge weight attributes must be numerical. Distances are calculated as sums of weighted edges traversed.