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The NetworkX skill empowers Claude to handle complex graph-based data structures, enabling the creation and analysis of social networks, biological pathways, transportation systems, and knowledge graphs. It provides a comprehensive suite of tools for computing advanced graph algorithms like shortest paths and centrality measures, detecting community structures, and generating synthetic networks for simulations. This skill is essential for developers and data scientists who need to model pairwise relationships or explore the structural topology of interconnected data systems within a Python environment.