The power-law exponent of a growing hypergraph's degree distribution depends only on the average ratio of new nodes to hyperedge size, and preferential attachment monotonically raises the simplicial fraction up to the gelation transition.
Simplicial closure and higher-order link prediction
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Preferential Attachment as a Simpliciality-Enforcing Mechanism in Hypergraphs
The power-law exponent of a growing hypergraph's degree distribution depends only on the average ratio of new nodes to hyperedge size, and preferential attachment monotonically raises the simplicial fraction up to the gelation transition.