<｜begin▁of▁sentence｜>### Instruction:
Imagine we are analyzing the syntactic structures of a complex sentence, likened to the interconnected nodes and pathways of a network diagram in linguistic research. Each node represents a unique word, and each connecting path displays a syntactic relationship, with varying degrees of connection strength represented by the weight on each edge.

Consider the network of syntactic relationships detailed by the following set of weighted edges: [(1, 2, 6), (1, 3, 2), (2, 3, 1), (2, 4, 7), (3, 5, 9), (4, 5, 3)]. In this linguistic model, using the analytical tool NetworkX, how can we discern the optimal arrangement of syntactic pairs that, collectively, form the most robust and weighted structure? In other words, what syntactic configuration emerges as the maximum-weighted matching from this network diagram, if we are to treat the weights as indicative of the strength or significance of the syntactic associations?
### Response:
import networkx as nx

# Create a graph
G = nx.Graph()

# Add weighted edges
edges = [(1, 2, 6), (1, 3, 2), (2, 3, 1), (2, 4, 7), (3, 5, 9), (4, 5, 3)]
G.add_weighted_edges_from(edges)

# Compute a maximum-weighted matching of the graph
matching = nx.max_weight_matching(G, maxcardinality=False, weight='weight')

# Print the matching
print(sorted(matching))
<|EOT|>
