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 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 …

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 …

[图书][B] Higher-order networks

G Bianconi - 2021 - cambridge.org
Higher-order networks describe the many-body interactions of a large variety of complex
systems, ranging from the the brain to collaboration networks. Simplicial complexes are …

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 …

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 …

Epidemic spreading on higher-order networks

W Wang, Y Nie, W Li, T Lin, MS Shang, S Su, Y Tang… - Physics Reports, 2024 - Elsevier
Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …

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 …

Expectation-maximizing network reconstruction and most applicable network types based on binary time series data

K Liu, X Lü, F Gao, J Zhang - Physica D: Nonlinear Phenomena, 2023 - Elsevier
Based on the binary time series data of social infection dynamics, we propose a general
framework to reconstruct the 2-simplicial complexes with two-body and three-body …

Epidemic trajectories and awareness diffusion among unequals in simplicial complexes

L Liu, M Feng, C Xia, D Zhao, M Perc - Chaos, Solitons & Fractals, 2023 - Elsevier
The interplay between awareness diffusion and epidemic spreading has been an active
topic of research in recent years. Studies have shown that group interactions are an …