<｜begin▁of▁sentence｜>### Instruction:
Given a star graph with 3 leaves and a central node, generate 5 random paths of maximum length 4 and also create an inverted index map where each node is a key and its associated value is the list of paths' indices in which that node appears.
### Response:
import networkx as nx

# Create a star graph
G = nx.star_graph(3)

# Dictionary to hold the inverted index
index_map = {}

# Generate 5 random paths of length 4 from the graph G
random_paths = nx.generate_random_paths(G, sample_size=5, path_length=4, index_map=index_map)

# Convert generator to list to view the paths
random_paths_list = list(random_paths)

print('Random paths generated:', random_paths_list)
print('Index Map:', index_map)
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