<｜begin▁of▁sentence｜>### Instruction:
Given a graph with edges [(0, 1), (1, 2), (2, 0), (0, 3), (3, 4), (4, 5), (3, 5)], can you calculate the local transitivity (clustering coefficient) for each vertex in the graph using the transitivity_local_undirected function in igraph?
### Response:
import igraph as ig

# Generate a simple undirected graph
g = ig.Graph([(0, 1), (1, 2), (2, 0), (0, 3), (3, 4), (4, 5), (3, 5)])

# Calculate the local transitivity for all vertices in the graph
transitivities = g.transitivity_local_undirected()
print(f'Local transitivities: {transitivities}')
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