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networkx.algorithms.efficiency_measures.efficiency

efficiency(G, u, v)

Returns the efficiency of a pair of nodes in a graph.

The efficiency of a pair of nodes is the multiplicative inverse of the shortest path distance between the nodes 1. Returns 0 if no path between nodes.

Parameters

• G (networkx.Graph) – An undirected graph for which to compute the average local efficiency.

• u, v (node) – Nodes in the graph G.

Returns

Multiplicative inverse of the shortest path distance between the nodes.

Return type

float

Notes

Edge weights are ignored when computing the shortest path distances.

See also

local_efficiency(), global_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>