<｜begin▁of▁sentence｜>### Instruction:
Imagine you're inspecting an aircraft's electrical system, where each electrical component is connected by wiring. You've got a schematic that shows the following connections: Component 1 is wired to Components 2 and 3, Component 2 connects further to Components 4 and 5. After charting these connections on your maintenance graph, you'd want to verify that the electrical circuit represents a tree-like structure without any feedback loops – in technical terms, you’re checking if your wiring diagram is a ‘forest’.

Next, you contemplate adding an additional wire from Component 4 back to Component 1, which might be necessary for system redundancy. However, before making this change, you need to evaluate if introducing this wire creates a loop in the circuit, potentially leading to a short-circuit risk. So, once more, you'll need to assess your diagram to confirm if it still depicts a ‘forest’ after adding this wiring or if you've inadvertently introduced a cyclical connection that could compromise the system's safety.
### Response:
import networkx as nx

# Create a graph
G = nx.Graph()

# Add edges to the graph (nodes are added automatically)
G.add_edges_from([(1,2),(1,3),(2,4),(2,5)])

# Check if the graph is a forest
is_forest = nx.is_forest(G)
print('Is the graph a forest?', is_forest)

# Add an edge that creates a cycle
G.add_edge(4,1)

# Re-check if the graph is now a forest
is_forest = nx.is_forest(G)
print('Is the graph a forest after adding an edge (4,1)?', is_forest)
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