<｜begin▁of▁sentence｜>### Instruction:
Given a graph with edges [(1, 2), (1, 3), (1, 4), (3, 4), (3, 5), (4, 5)], can you compute the barycenter of the graph using NetworkX, and do you store any additional information in the node attributes?
### Response:
import networkx as nx

# Create a connected graph
G = nx.Graph()
G.add_edges_from([(1, 2), (1, 3), (1, 4), (3, 4), (3, 5), (4, 5)])

# Calculate barycenter nodes of the graph
barycenter_nodes = nx.barycenter(G)

print('Barycenter nodes:', barycenter_nodes)
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