code: def s_metric(G, **kwargs):
      """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.
      normalized : bool (optional)
          Normalize the value.
  
          .. deprecated:: 3.2
  
             The `normalized` keyword argument is deprecated and will be removed
             in the future
  
      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
      """
      # NOTE: This entire code block + the **kwargs in the signature can all be
      # removed when the deprecation expires.
      # Normalized is always False, since all `normalized=True` did was raise
      # a NotImplementedError
      if kwargs:
          # Warn for `normalize`, raise for any other kwarg
          if "normalized" in kwargs:
              import warnings
  
              warnings.warn(
                  "\n\nThe `normalized` keyword is deprecated and will be removed\n"
                  "in the future. To silence this warning, remove `normalized`\n"
                  "when calling `s_metric`.\n\n"
                  "The value of `normalized` is ignored.",
                  DeprecationWarning,
                  stacklevel=3,
              )
          else:
              # Typical raising behavior for Python when kwarg not recognized
              raise TypeError(
                  f"s_metric got an unexpected keyword argument '{list(kwargs.keys())[0]}'"
              )
  
      return float(
          sum(G.degree(u) * G.degree(v) for (u, v) in G.edges())
      )
  
label_desc: Use image node_id 1 for calling a global function with example usage: s_metric(G) and returns: float