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authorS. Solomon Darnell2025-03-28 21:52:21 -0500
committerS. Solomon Darnell2025-03-28 21:52:21 -0500
commit4a52a71956a8d46fcb7294ac71734504bb09bcc2 (patch)
treeee3dc5af3b6313e921cd920906356f5d4febc4ed /.venv/lib/python3.12/site-packages/networkx/algorithms/smetric.py
parentcc961e04ba734dd72309fb548a2f97d67d578813 (diff)
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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()))