What are higher-order networks?
By Christian Bick, Elizabeth Gross, Heather A. Harrington, Michael T. Schaub. SIAM Review, 2021
505 citations recorded by the source corpus.
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 paradigm of modeling pairwise relationships, as encapsulated by graphs. In this survey article we take stock of these recent developments. Our goals are to clarify (i) what higher-order networks are, (ii) why these are interesting objects of study, and (iii) how they can be used in applications.
Subfields: Computational Theory and Mathematics, Molecular Biology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9b9550ef8522e20d14996d0c53ed7fd8ab1525f9
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In Molecular Biology
In Statistical and Nonlinear Physics
Citations in the corpus
- Dynamics on higher-order networks: a review (2022, background): “However, for a complete explanation of many complex systems, one needs to further improve the structural modelling of networked systems [8,9].”
- Higher-Order Knowledge Representations for Agentic Scientific Reasoning (2026, unknown): “In many real-world applications, relationships among entities extend beyond simple pairwise interactions [48–50].”