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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)
downloadgn-ai-4a52a71956a8d46fcb7294ac71734504bb09bcc2.tar.gz
two version of R2R are here HEAD master
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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()))