19/10/2026
🧩 How does the organization of groups shape collective transitions?
We’re proud to share a new paper by our colleague Federico Malizia, together with Andrés Guzmán, Federico Battiston and István Z. Kiss, published in Physical Review Letters.
Using hypergraphs, the study shows that even when each individual participates in the same number of interactions, how those interactions are organized matters. For example, individuals may interact in pairs, while some of those pairs are also embedded within larger groups. The authors quantify this organization through nestedness.
Increasing nestedness promotes an earlier onset of collective behavior while making abrupt, discontinuous (or “explosive”) transitions less likely. In other words, the organization of interactions can affect not only when collective behavior emerges, but also how the transition takes place.
The paper goes beyond identifying this phenomenology. Using an analytically tractable SIS model with pairwise and three-body interactions, the authors uncover its microscopic origin: pairwise interactions embedded within larger groups accelerate early-stage spreading, while at the same time making pairwise and higher-order transmission channels increasingly redundant.
The figure illustrates how increasing nestedness reorganizes pairwise interactions into group-embedded routes, anticipating collective onset while suppressing abrupt transitions. It also shows that the same phenomenology persists across different interaction orders and dynamical processes, including SIS spreading, higher-order Ising dynamics, and synchronization models.
This project began when Federico joined DNDS, in collaboration with his former research group at Northeastern University London.
Congratulations to the authors! We also thank the anonymous PRL reviewers for their careful evaluation and valuable contribution to this work.
“Nested hyperedges promote the onset of collective transitions but suppress explosive behavior”
https://journals.aps.org/prl/abstract/10.1103/rvlj-fmf9