s_metric#

s_metric(G, **kwargs)[source]#

Returns the s-metric [1] of graph.

The s-metric is defined as the sum of the products deg(u) * deg(v) for every edge (u, v) in G.

Parameters:
Ggraph

The graph used to compute the s-metric.

normalizedbool (optional)

Normalize the value.

Deprecated since version 3.2: The normalized keyword argument is deprecated and will be removed in the future

Returns:
sfloat

The s-metric of the graph.

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


Additional backends implement this function

graphblas : OpenMP-enabled sparse linear algebra backend.