<｜begin▁of▁sentence｜>### Instruction:
Given a graph whose edge set is [('x', 'a', 3), ('x', 'b', 1), ('a', 'c', 3), ('b', 'c', 5), ('b', 'd', 4), ('d', 'e', 2), ('c', 'y', 2), ('e', 'y', 3)], can you compute the minimum edge cut using the Stoer-Wagner algorithm?
### Response:
import networkx as nx

G = nx.Graph()
G.add_edge('x', 'a', weight=3)
G.add_edge('x', 'b', weight=1)
G.add_edge('a', 'c', weight=3)
G.add_edge('b', 'c', weight=5)
G.add_edge('b', 'd', weight=4)
G.add_edge('d', 'e', weight=2)
G.add_edge('c', 'y', weight=2)
G.add_edge('e', 'y', weight=3)

try:
    cut_value, partition = nx.stoer_wagner(G)
    print('The sum of weights of edges in a minimum cut:', cut_value)
    print('A partitioning of the nodes that defines a minimum cut:', partition)
except nx.NetworkXError as e:
    print(e)
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