dijkstra_path_length

dijkstra_path_length(G, source, target, weight='weight')

Returns the shortest weighted path length in G from source to target.

Uses Dijkstra’s Method to compute the shortest weighted path length between two nodes in a graph.

Parameters:

GNetworkX graph

sourcenode label

starting node for path

targetnode label

ending node for path

weightstring or function

If this is a string, then edge weights will be accessed via the edge attribute with this key (that is, the weight of the edge joining u to v will be G.edges[u, v][weight]). If no such edge attribute exists, the weight of the edge is assumed to be one.

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.

Returns:

lengthnumber

Shortest path length.

Raises:

NodeNotFound

If source is not in G.

NetworkXNoPath

If no path exists between source and target.

See also

bidirectional_dijkstra

bellman_ford_path_length

single_source_dijkstra

Notes

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

The weight function can be used to hide edges by returning None. So weight = lambda u, v, d: 1 if d['color']=="red" else None will find the shortest red path.

The function single_source_dijkstra() computes both path and length-of-path if you need both, use that.

Examples

>>> G = nx.path_graph(5)
>>> nx.dijkstra_path_length(G, 0, 4)
4