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 …

[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 …

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 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 overlapping 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 …

Sombor index and degree-related properties of simplicial networks

Y Shang - Applied Mathematics and Computation, 2022 - Elsevier
Many dynamical effects in biology, social and technological complex systems have recently
revealed their relevance to group interactions beyond traditional dyadic relationships …

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 …

Hypergraph reconstruction from network data

JG Young, G Petri, TP Peixoto - Communications Physics, 2021 - nature.com
Networks can describe the structure of a wide variety of complex systems by specifying
which pairs of entities in the system are connected. While such pairwise representations are …