class_docstr: Unit tests for the treewidth_min_fill_in function.
docstr: Test first steps of min_fill_in heuristic
docstr_tok: ["Test","first","steps","of","min_fill_in","heuristic"]
code: def test_heuristic_first_steps(self):
      """Test first steps of min_fill_in heuristic"""
      graph = {
          n: set(self.deterministic_graph[n]) - {n}
          for n in self.deterministic_graph
      }
      print(f"Graph {graph}:")
      elim_node = min_fill_in_heuristic(graph)
      steps = []
  
      while elim_node is not None:
          print(f"Removing {elim_node}:")
          steps.append(elim_node)
          nbrs = graph[elim_node]
  
          for u, v in itertools.permutations(nbrs, 2):
              if v not in graph[u]:
                  graph[u].add(v)
  
          for u in graph:
              if elim_node in graph[u]:
                  graph[u].remove(elim_node)
  
          del graph[elim_node]
          print(f"Graph {graph}:")
          elim_node = min_fill_in_heuristic(graph)
  
      # check only the first 2 elements for equality
      assert steps[:2] == [6, 5]
  
imports: import itertools
  import networkx
  from networkx.algorithms.approximation import treewidth_min_degree, treewidth_min_fill_in
  from networkx.algorithms.approximation.treewidth import MinDegreeHeuristic, min_fill_in_heuristic
label_desc: Use image node_id 8 for calling the TestTreewidthMinFillIn obj's underlying member method code with example usage: obj.test_heuristic_first_steps() without return types