networkx.algorithms.smetric.s_metric

s_metric(G, normalized=True)[source]

Returns 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 – The s-metric of the graph.

Return type:

float

References

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