Hypergraph Complex Contagion

Higher-order group interactions enable threshold-driven cascades

Adopted: 0% | Step: 0 | Mode: hypergraph
Complex contagion: adoption requires that a threshold fraction θ of group members are already adopters. In a hypergraph, interactions involve groups (hyperedges) rather than pairs — capturing meetings, classes, households. Higher-order contagion can exhibit abrupt (first-order) cascades: a tiny seed infects nothing until a critical density, then triggers a global cascade. Compare pairwise (θ per neighbor) vs hyperedge (θ of entire group) dynamics.