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Explore how networks can be understood as freely generated categorical structures in this mathematical lecture that demonstrates the significance of paths between nodes rather than just edges. Learn through diverse examples how this categorical perspective provides a clean mathematical framework for network operations including motif finding and refinement. Discover the practical applications of these theoretical concepts through CatColab, an interactive environment designed for modeling in domain-specific categorical logics, and gain insights into how category theory can enhance your understanding of network analysis and structure.
