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- import networkx as nx
- __all__ = ["s_metric"]
- @nx._dispatchable
- def s_metric(G):
- """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
- ----------
- G : graph
- The graph used to compute the s-metric.
- Returns
- -------
- s : float
- 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
- """
- return float(sum(G.degree(u) * G.degree(v) for (u, v) in G.edges()))
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