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Brendan Rooney

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Preprint Aug 2026

Preferential Attachment as a Simpliciality-Enforcing Mechanism in Hypergraphs

A generalized preferential attachment hypergraph model is introduced in which both hyperedge size and the number of new nodes per step are drawn from arbitrary distributions, and it is found that the simplicial fraction increases monotonically with the strength of preferential attachment up to the gelation transition a...

Jason LaRuez, Brendan Rooney · 0 citations

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