<｜begin▁of▁sentence｜>### Instruction:
Given a graph represented as a path graph of 4 nodes created by 'nx.path_graph(4)', what are the communities detected by the Girvan–Newman method when using the edge betweenness centrality to identify the most central edge?
### Response:
import networkx as nx
import itertools

# Create a graph instance
G = nx.path_graph(4)

# Function to find the most central edge
def most_central_edge(G):
    centrality = nx.edge_betweenness_centrality(G)
    return max(centrality, key=centrality.get)

# Apply the Girvan–Newman community detection algorithm
communities_generator = nx.community.girvan_newman(G, most_valuable_edge=most_central_edge)

# Get the first level of communities
first_level_communities = next(communities_generator)

# Sort nodes in communities and print
print(tuple(sorted(c) for c in first_level_communities))
<|EOT|>
