code: def _remove_edge(grid, edge_ids, neighbors, components, e):
      """
      Remove an edge from a spanning tree.
      """
      k = edge_ids[e]
      v1 = grid[0, k].item()
      v2 = grid[1, k].item()
      neighbors[v1].remove(v2)
      neighbors[v2].remove(v1)
      components[v1] = 1
      pending = [v1]
      while pending:
          v1 = pending.pop()
          for v2 in neighbors[v1]:
              if not components[v2]:
                  components[v2] = 1
                  pending.append(v2)
      return k
  
imports: import itertools
  import math
  import torch
  from torch.distributions import constraints
  from torch.distributions.utils import lazy_property
  from pyro.distributions.torch_distribution import TorchDistribution
label_desc: Use image node_id 4 for calling a global function with example usage: _remove_edge(grid, edge_ids, neighbors, components, e) and returns: k