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networkx.algorithms.efficiency.global_efficiency

global_efficiency(G)

Returns the average global efficiency of the graph.

The efficiency of a pair of nodes in a graph is the multiplicative inverse of the shortest path distance between the nodes. The average global efficiency of a graph is the average efficiency of all pairs of nodes [1].

Parameters:G (networkx.Graph) – An undirected graph for which to compute the average global efficiency. Returns:The average global efficiency of the graph. Return type:float

Notes

Edge weights are ignored when computing the shortest path distances.

See also

local_efficiency()

References

[1]	Latora, Vito, and Massimo Marchiori. “Efficient behavior of small-world networks.” Physical Review Letters 87.19 (2001): 198701. <https://doi.org/10.1103/PhysRevLett.87.198701>