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Explore advanced mathematical structures that extend beyond traditional graph theory in this 31-minute conference talk from JuliaCon Global 2025. Delve into simplicial complexes, hypergraphs, and relational structures as powerful tools for modeling complex systems and data relationships. Learn how these sophisticated mathematical frameworks can capture higher-order interactions and multi-dimensional relationships that standard graphs cannot represent. Discover practical applications and computational approaches for working with these structures, gaining insights into when and why to move beyond conventional graph-based modeling. Understand the theoretical foundations and implementation considerations for simplicial, hyper, and relational structures in computational mathematics and data science applications.
