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 …

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 …

Higher-order organization of multivariate time series

A Santoro, F Battiston, G Petri, E Amico - Nature Physics, 2023 - nature.com
Time series analysis has proven to be a powerful method to characterize several
phenomena in biology, neuroscience and economics, and to understand some of their …

Higher-order motif analysis in hypergraphs

QF Lotito, F Musciotto, A Montresor… - Communications …, 2022 - nature.com
A deluge of new data on real-world networks suggests that interactions among system units
are not limited to pairs, but often involve a higher number of nodes. To properly encode …

Inference of hyperedges and overlap** communities in hypergraphs

M Contisciani, F Battiston, C De Bacco - Nature communications, 2022 - nature.com
Hypergraphs, encoding structured interactions among any number of system units, have
recently proven a successful tool to describe many real-world biological and social …

Community detection in large hypergraphs

N Ruggeri, M Contisciani, F Battiston, C De Bacco - Science Advances, 2023 - science.org
Hypergraphs, describing networks where interactions take place among any number of
units, are a natural tool to model many real-world social and biological systems. Here, we …

Hypergraphx: a library for higher-order network analysis

QF Lotito, M Contisciani, C De Bacco… - Journal of Complex …, 2023 - academic.oup.com
From social to biological systems, many real-world systems are characterized by higher-
order, non-dyadic interactions. Such systems are conveniently described by hypergraphs …

The temporal dynamics of group interactions in higher-order social networks

I Iacopini, M Karsai, A Barrat - Nature Communications, 2024 - nature.com
Representing social systems as networks, starting from the interactions between individuals,
sheds light on the mechanisms governing their dynamics. However, networks encode only …

Reconstructing higher-order interactions in coupled dynamical systems

F Malizia, A Corso, LV Gambuzza, G Russo… - Nature …, 2024 - nature.com
Higher-order interactions play a key role for the operation and function of a complex system.
However, how to identify them is still an open problem. Here, we propose a method to fully …