code: def pad_graph(G, num_colors):
      """Add a disconnected complete clique K_p such that the number of nodes in
      the graph becomes a multiple of `num_colors`.
  
      Assumes that the graph's nodes are labelled using integers.
  
      Returns the number of nodes with each color.
      """
  
      n_ = len(G)
      r = num_colors - 1
  
      # Ensure that the number of nodes in G is a multiple of (r + 1)
      s = n_ // (r + 1)
      if n_ != s * (r + 1):
          p = (r + 1) - n_ % (r + 1)
          s += 1
  
          # Complete graph K_p between (imaginary) nodes [n_, ... , n_ + p]
          K = nx.relabel_nodes(
              nx.complete_graph(p), {idx: idx + n_ for idx in range(p)}
          )
          G.add_edges_from(K.edges)
  
      return s
  
file_path: networkx/networkx/algorithms/coloring/equitable_coloring.py
imports: from collections import defaultdict
  import networkx
label_desc: Use image node_id 8 for calling a global function with example usage: pad_graph(G, num_colors) and returns: s