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This has been the standard way to model networks for decades. In fact, hypergraph models are only special cases of this standard and more general graph-based framework. We demonstrate this in a new work: doi.org/10.48550/arX... 2/2
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We demonstrate that graph-based models are fully capable of representing higher-order interactions, and have a long history of being used for precisely this purpose. This stands in contrast to a commo...
doi.org
Graphs are maximally expressive for higher-order interactions
Tiago Peixoto