The structure and dynamics of networks with higher order interactions

S Boccaletti, P De Lellis, CI Del Genio, K Alfaro-Bittner… - Physics Reports, 2023 - Elsevier
All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

Signal propagation in complex networks

P Ji, J Ye, Y Mu, W Lin, Y Tian, C Hens, M Perc, Y Tang… - Physics reports, 2023 - Elsevier
Signal propagation in complex networks drives epidemics, is responsible for information
going viral, promotes trust and facilitates moral behavior in social groups, enables the …

Dynamics on higher-order networks: A review

S Majhi, M Perc, D Ghosh - Journal of the Royal Society …, 2022 - royalsocietypublishing.org
Network science has evolved into an indispensable platform for studying complex systems.
But recent research has identified limits of classical networks, where links connect pairs of …

The physics of higher-order interactions in complex systems

F Battiston, E Amico, A Barrat, G Bianconi… - Nature Physics, 2021 - nature.com
Complex networks have become the main paradigm for modelling the dynamics of
interacting systems. However, networks are intrinsically limited to describing pairwise …

Social physics

M Jusup, P Holme, K Kanazawa, M Takayasu, I Romić… - Physics Reports, 2022 - Elsevier
Recent decades have seen a rise in the use of physics methods to study different societal
phenomena. This development has been due to physicists venturing outside of their …

[HTML][HTML] Networks beyond pairwise interactions: Structure and dynamics

F Battiston, G Cencetti, I Iacopini, V Latora, M Lucas… - Physics reports, 2020 - Elsevier
The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

What are higher-order networks?

C Bick, E Gross, HA Harrington, MT Schaub - SIAM Review, 2023 - SIAM
Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …

Towards better dynamic graph learning: New architecture and unified library

L Yu, L Sun, B Du, W Lv - Advances in Neural Information …, 2023 - proceedings.neurips.cc
We propose DyGFormer, a new Transformer-based architecture for dynamic graph learning.
DyGFormer is conceptually simple and only needs to learn from nodes' historical first-hop …

Epidemics on multilayer simplicial complexes

J Fan, Q Yin, C Xia, M Perc - Proceedings of the Royal …, 2022 - royalsocietypublishing.org
Simplicial complexes describe the simple fact that in social networks a link can connect
more than two individuals. As we show here, this has far-reaching consequences for …

Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes

Y Zhang, M Lucas, F Battiston - Nature communications, 2023 - nature.com
Higher-order networks have emerged as a powerful framework to model complex systems
and their collective behavior. Going beyond pairwise interactions, they encode structured …