<｜begin▁of▁sentence｜>### Instruction:
As a physicist, you are studying the collaborative efforts within the field of Condensed Matter in 2005. After obtaining the collaboration graph data from the cond-mat-2005.gml file, you'd like to use the hierarchical_link_community function in the cdlib library to perform edge clustering on this graph. Additionally, you're interested in generating a JSON representation of the resulting edge clusters for further analytical purposes.
### Response:
import networkx as nx
from cdlib import algorithms

# Creating a graph
G = nx.read_gml('cond-mat-2005.gml')

# Applying Hierarchical Link Clustering
communities = algorithms.hierarchical_link_community(G)

# Generate a JSON representation of the resulting edge clustering
community_json = communities.to_json()

print(community_json)
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