This documents an unmaintained version of NetworkX. Please upgrade to a maintained version and see the current NetworkX documentation.
Return the average shortest path length.
The average shortest path length is
where is the set of nodes in , is the shortest path from to , and is the number of nodes in .
- G (NetworkX graph) –
- weight (None or string, 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.
NetworkXError– if the graph is not connected.
>>> G=nx.path_graph(5) >>> print(nx.average_shortest_path_length(G)) 2.0
For disconnected graphs you can compute the average shortest path length for each component: >>> G=nx.Graph([(1,2),(3,4)]) >>> for g in nx.connected_component_subgraphs(G): ... print(nx.average_shortest_path_length(g)) 1.0 1.0