networkx.algorithms.shortest_paths.weighted.multi_source_dijkstra_path¶
- multi_source_dijkstra_path(G, sources, cutoff=None, weight='weight')[source]¶
Find shortest weighted paths in G from a given set of source nodes.
Compute shortest path between any of the source nodes and all other reachable nodes for a weighted graph.
- Parameters
- GNetworkX graph
- sourcesnon-empty set of nodes
Starting nodes for paths. If this is just a set containing a single node, then all paths computed by this function will start from that node. If there are two or more nodes in the set, the computed paths may begin from any one of the start nodes.
- cutoffinteger or float, optional
Length (sum of edge weights) at which the search is stopped. If cutoff is provided, only return paths with summed weight <= cutoff.
- 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
tov
will beG.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
- pathsdictionary
Dictionary of shortest paths keyed by target.
- Raises
- ValueError
If
sources
is empty.- NodeNotFound
If any of
sources
is not inG
.
See also
multi_source_dijkstra
,multi_source_bellman_ford
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.Examples
>>> G = nx.path_graph(5) >>> path = nx.multi_source_dijkstra_path(G, {0, 4}) >>> path[1] [0, 1] >>> path[3] [4, 3]