<｜begin▁of▁sentence｜>### Instruction:
Given a cycle graph on four nodes, if we contract nodes 1 and 3 without allowing self-loops, what are the edges of the resulting graph, and is it isomorphic to a path graph with 3 nodes?
### Response:
import networkx as nx

# Create a graph
G = nx.cycle_graph(4)

# Contract nodes 1 and 3
H = nx.contracted_nodes(G, 1, 3, self_loops=False)

# Print the edges of the new graph
print(list(H.edges()))

# Check if the resulting graph is isomorphic to path graph on 3 nodes
P3 = nx.path_graph(3)
is_isomorphic = nx.is_isomorphic(H, P3)
print('Is isomorphic to P3:', is_isomorphic)
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