code: def subgraph(
      G: Union[Graph, "networkx.Graph"],
      vertices: Union[cudf.Series, cudf.DataFrame],
  ) -> Union[Graph, "networkx.Graph"]:
      """
      Compute a subgraph of the existing graph including only the specified
      vertices.  This algorithm works with both directed and undirected graphs
      and does not actually traverse the edges, but instead simply pulls out any
      edges that are incident on vertices that are both contained in the vertices
      list.
  
      If no subgraph can be extracted from the vertices provided, a 'None' value
      will be returned.
  
      Parameters
      ----------
      G : cugraph.Graph or networkx.Graph
          The current implementation only supports weighted graphs.
  
      vertices : cudf.Series or cudf.DataFrame
          Specifies the vertices of the induced subgraph. For multi-column
          vertices, vertices should be provided as a cudf.DataFrame
  
      Returns
      -------
      Sg : cugraph.Graph or networkx.Graph
          A graph object containing the subgraph induced by the given vertex set.
  
      Examples
      --------
      >>> from cugraph.datasets import karate
      >>> G = karate.get_graph(download=True)
      >>> verts = np.zeros(3, dtype=np.int32)
      >>> verts[0] = 0
      >>> verts[1] = 1
      >>> verts[2] = 2
      >>> sverts = cudf.Series(verts)
      >>> Sg = cugraph.subgraph(G, sverts)
  
      """
  
      warning_msg = "This call is deprecated. Please call 'cugraph.induced_subgraph()' instead."
      warnings.warn(warning_msg, DeprecationWarning)
  
      result_graph, _ = cugraph.induced_subgraph(G, vertices)
  
      return result_graph
  
imports: from typing import Union
  import warnings
  import cudf
  import cugraph
  from cugraph.structure import Graph
  from cugraph.utilities.utils import import_optional
label_desc: Use image node_id 1 for calling a global function with example usage: subgraph(G, vertices) and returns: result_graph