<｜begin▁of▁sentence｜>### Instruction:
Suppose you have a graph with weighted edges, where the edge weights represent the cost associated with including a node in your vertex cover set. How would you find an approximate minimum weighted vertex cover that includes nodes such that each edge in the graph is incident to at least one of the included nodes, and the total weight is at most twice the weight of the optimal vertex cover?
### Response:
import networkx as nx

# Create a graph
H = nx.Graph()

# Add weighted edges to the graph (nodes are added automatically)
H.add_edge('A', 'B', weight=2)
H.add_edge('A', 'C', weight=3)
H.add_edge('B', 'C', weight=5)
H.add_edge('B', 'D', weight=4)

# Invoke the min_weighted_vertex_cover algorithm
cover = nx.algorithms.approximation.min_weighted_vertex_cover(H, weight='weight')

print(f'The approximate minimum weighted vertex cover is: {cover}')
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