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 …

Reputation and reciprocity

C Xia, J Wang, M Perc, Z Wang - Physics of life reviews, 2023 - Elsevier
Reputation and reciprocity are key mechanisms for cooperation in human societies, often
going hand in hand to favor prosocial behavior over selfish actions. Here we review recent …

Weisfeiler and lehman go topological: Message passing simplicial networks

C Bodnar, F Frasca, Y Wang, N Otter… - International …, 2021 - proceedings.mlr.press
The pairwise interaction paradigm of graph machine learning has predominantly governed
the modelling of relational systems. However, graphs alone cannot capture the multi-level …

Percolation on complex networks: Theory and application

M Li, RR Liu, L Lü, MB Hu, S Xu, YC Zhang - Physics Reports, 2021 - Elsevier
In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

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 …

A survey on hypergraph representation learning

A Antelmi, G Cordasco, M Polato, V Scarano… - ACM Computing …, 2023 - dl.acm.org
Hypergraphs have attracted increasing attention in recent years thanks to their flexibility in
naturally modeling a broad range of systems where high-order relationships exist among …