Higher-Order Interactions

Hypergraphs and simplicial complexes

Do higher-order interactions promote synchronization? Which higher-order representation should we choose when modeling systems with nonpairwise interactions?

• Y. Zhang*, M. Lucas*, and F. Battiston, Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes, Nat. Commun. 14, 1605 (2023)
• Y. Zhang, V. Latora, and A. E. Motter, Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions, Commun. Phys. 4, 195 (2021)

Temporal networks

Do temporal networks have a fundamental advantage over static networks? Can time-varying connections be used as a control mechanism?

• Y. Zhang and S. H. Strogatz, Designing temporal networks that synchronize under resource constraints, Nat. Commun. 12, 3273 (2021)