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The percolation transition in correlated hypergraphsJournal of Statistical Mechanics: Theory and Experiment, Vol. 2009, No. 07. (July 2009), P07028.
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AbstractCorrelations are known to play a crucial role in determining the structure of complex networks. Here we study how their presence affects the computation of the percolation threshold in random hypergraphs. In order to mimic the correlation in real networks, we build hypergraphs from generalized hidden variable ensembles and we study the percolation transition by mapping this problem to the fully connected Potts model with heterogeneous couplings.
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