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.
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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.