<｜begin▁of▁sentence｜>### Instruction:
Given a triangle graph with edges [(0, 1), (1, 2), (2, 0)], how do you generate its Mycielskian which preserves the triangle-free property and increases the chromatic number by 1?
### Response:
import networkx as nx

# Create a simple, undirected graph
G = nx.Graph()
G.add_edges_from([(0, 1), (1, 2), (2, 0)])

# Generate the Mycielskian of the graph
M = nx.mycielskian(G, iterations=1)

# Print the edges of the new graph
print('Edges of Mycielskian:', M.edges())
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