<｜begin▁of▁sentence｜>### Instruction:
If you want to create a dodecahedral graph, which is a cubic Hamiltonian graph of high symmetry, using LCF notation, how would you write the Python code with networkx to do that and generate a JSON object representing its nodes and edges with labeled identifiers?
### Response:
import networkx as nx
# Create a dodecahedral graph using LCF notation
number_of_nodes = 20
lcf = [2, -2] * 10
# The LCF notation [2, -2] * 10 means to take the list [2, -2] and repeat it 10 times
dodecahedral_graph = nx.LCF_graph(number_of_nodes, lcf, 10)

# Now you can use the dodecahedral_graph as a normal NetworkX graph object.
# For example, let's print the nodes and edges
print('Nodes:', dodecahedral_graph.nodes())
print('Edges:', dodecahedral_graph.edges())

# Generate the graph JSON object
graph_json = {'graph nodes': [{'id': node, 'label': f'Node {node}'} for node in dodecahedral_graph.nodes()],
              'graph edges': [{'source': edge[0], 'target': edge[1], 'label': f'Edge {edge[0]}-{edge[1]}'} for edge in dodecahedral_graph.edges()]}

# Print the JSON object
print(graph_json)
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