code: def faster_could_be_isomorphic(G1, G2):
      """Returns False if graphs are definitely not isomorphic.
  
      True does NOT guarantee isomorphism.
  
      Parameters
      ----------
      G1, G2 : graphs
         The two graphs G1 and G2 must be the same type.
  
      Notes
      -----
      Checks for matching degree sequences.
      """
      # Check global properties
      if G1.order() != G2.order():
          return False
  
      # Check local properties
      d1 = sorted(d for n, d in G1.degree())
      d2 = sorted(d for n, d in G2.degree())
  
      if d1 != d2:
          return False
  
      # OK...
      return True
  
imports: import networkx
  from networkx.exception import NetworkXError
label_desc: Use image node_id 3 for calling a global function with example usage: faster_could_be_isomorphic(G1, G2) and returns: True, False, False