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 …

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 …

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 …

An efficient adaptive degree-based heuristic algorithm for influence maximization in hypergraphs

M Xie, XX Zhan, C Liu, ZK Zhang - Information Processing & Management, 2023 - Elsevier
Influence maximization (IM) has shown wide applicability in immense fields over the past
decades. Previous researches on IM mainly focused on the dyadic relationship but lacked …

Simplicial contagion in temporal higher-order networks

S Chowdhary, A Kumar, G Cencetti… - Journal of Physics …, 2021 - iopscience.iop.org
Complex networks represent the natural backbone to study epidemic processes in
populations of interacting individuals. Such a modeling framework, however, is naturally …

Hyper-cores promote localization and efficient seeding in higher-order processes

M Mancastroppa, I Iacopini, G Petri, A Barrat - Nature Communications, 2023 - nature.com
Going beyond networks, to include higher-order interactions of arbitrary sizes, is a major
step to better describe complex systems. In the resulting hypergraph representation, tools to …

Composite effective degree Markov chain for epidemic dynamics on higher-order networks

J Chen, M Feng, D Zhao, C Xia… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Epidemiological models based on traditional networks have made important contributions to
the analysis and control of malware, disease, and rumor propagation. However, higher …

Distinguishing simple and complex contagion processes on networks

G Cencetti, DA Contreras, M Mancastroppa, A Barrat - Physical Review Letters, 2023 - APS
Contagion processes on networks, including disease spreading, information diffusion, or
social behaviors propagation, can be modeled as simple contagion, ie, as a contagion …

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 …