code: def treewidth_min_fill_in(G):
      """Returns a treewidth decomposition using the Minimum Fill-in heuristic.
  
      The heuristic chooses a node from the graph, where the number of edges
      added turning the neighborhood of the chosen node into clique is as
      small as possible.
  
      Parameters
      ----------
      G : NetworkX graph
  
      Returns
      -------
      Treewidth decomposition : (int, Graph) tuple
          2-tuple with treewidth and the corresponding decomposed tree.
      """
      return treewidth_decomp(G, min_fill_in_heuristic)
  
file_path: networkx/networkx/algorithms/approximation/treewidth.py
imports: import itertools
  import sys
  from heapq import heapify, heappop, heappush
  import networkx
  from networkx.utils import not_implemented_for
label_desc: Use image node_id 2 for calling a global function with example usage: treewidth_min_fill_in(G) and returns: treewidth_decomp