<｜begin▁of▁sentence｜>### Instruction:
Given a networkX graph representing the social interactions of the karate club (Zachary's karate club), and using the eigenvector centrality as the heuristic, how would you perform a beam search with source node 0 and a beam width of 5 to iterate over the edges?
### Response:
import networkx as nx

# Define a graph
G = nx.karate_club_graph()

# Calculate eigenvector centrality
centrality = nx.eigenvector_centrality(G)

# Define source node and beam width
source = 0
width = 5

# Perform beam search
edges_in_beam_search = list(nx.bfs_beam_edges(G, source, centrality.get, width))

# Output
for u, v in edges_in_beam_search:
    print((u, v))
<|EOT|>
