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Correlations are known to play a crucial role in determining the structure ofcomplex networks. Here we study how their presence affects the computation ofthe percolation threshold in random hypergraphs. In order to mimic thecorrelation in real network, we build hypergraphs from a generalized hiddenvariable ensembles and we study the percolation transition by mapping thisproblem to the fully connected Potts model with heterogeneous couplings.

Percolation transition in correlated hypergraphs