networkx.algorithms.s_metric

networkx.algorithms.s_metric(G, normalized=True)[source]

Return the s-metric of graph.

The s-metric is defined as the sum of the products deg(u)*deg(v) for every edge (u,v) in G. If norm is provided construct the s-max graph and compute it’s s_metric, and return the normalized s value

Parameters:

G : graph

The graph used to compute the s-metric.

normalized : bool (optional)

Normalize the value.

Returns:

s : float

The s-metric of the graph.

References

[R803]Lun Li, David Alderson, John C. Doyle, and Walter Willinger, Towards a Theory of Scale-Free Graphs: Definition, Properties, and Implications (Extended Version), 2005. http://arxiv.org/abs/cond-mat/0501169