<｜begin▁of▁sentence｜>### Instruction:
Given a graph with edges (0, 1), (1, 2), (2, 3), (3, 0) and edge capacities [10, 1, 10, 1], can you use st_mincut function in igraph to calculate the minimum cut value between vertex 0 and vertex 2? Additionally, provide the vertices in the two partitions and the edges that constitute the cut.
### Response:
from igraph import Graph

# Create an example graph with weighted edges
g = Graph(edges=[(0, 1), (1, 2), (2, 3), (3, 0)], directed=False)
g.es['capacity'] = [10, 1, 10, 1]

source_vertex = 0
target_vertex = 2

# Calculate the minimum cut between vertex 0 and vertex 2
cut_value, partition1, partition2, cut_edges = g.st_mincut(source=source_vertex, target=target_vertex, capacity='capacity')

print(f'Min-cut value: {cut_value}')
print(f'Vertices in partition 1: {partition1}')
print(f'Vertices in partition 2: {partition2}')
print(f'Edges in the cut: {cut_edges}')
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