What Is in a Simplicial Complex? A Metaplex-Based Approach to Its Structure and Dynamics
Manuel Miranda,
Gissell Estrada-Rodriguez,
Ernesto Estrada
Abstract:Geometric realization of simplicial complexes makes them a unique representation of complex systems. The existence of local continuous spaces at the simplices level with global discrete connectivity between simplices makes the analysis of dynamical systems on simplicial complexes a challenging problem. In this work, we provide some examples of complex systems in which this representation would be a more appropriate model of real-world phenomena. Here, we generalize the concept of metaplexes to embrace that of … Show more
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