What Are Higher-Order Networks?

Network-based modeling of complex systems and data using the language of graphs has become an essential topic across a range of different disciplines. Arguably, this graph-based perspective derives its success from the relative simplicity of graphs: A graph consists of nothing more than a set of vertices and a set of edges, describing relationships between pairs of such vertices. This simple combinatorial structure makes graphs interpretable and flexible modeling tools. The simplicity of graphs as system models, however, has been scrutinized in the literature recently. Specifically, it has been argued from a variety of different angles that there is a need for higher-order networks, which go beyond the…

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  National Science Foundation

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  Royal Society

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  European Commission

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  Technische Universität München
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  Ministerium für Innovation, Wissenschaft und Forschung des Landes Nordrhein-Westfalen
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  Engineering and Physical Sciences Research Council

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  H2020 Marie Skłodowska-Curie Actions

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