<｜begin▁of▁sentence｜>### Instruction:
Given the cycle graph C_4 (nodes 0 to 3 with edges in a cycle), if we contract nodes 1 and 3, is the resulting graph isomorphic to the path graph on three nodes (P3), and what are its edges?
### Response:
import networkx as nx

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

# Contract nodes 1 and 3 in G
M = nx.contracted_nodes(G, 1, 3)

# Check if the resulting graph is isomorphic to the path graph on three nodes
P3 = nx.path_graph(3)
is_isomorphic = nx.is_isomorphic(M, P3)
print('Is the contracted graph isomorphic to P3?', is_isomorphic)
print('Edges of the contracted graph:', M.edges())
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