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 …

[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 …

Mathematics of epidemics on networks

IZ Kiss, JC Miller, PL Simon - Cham: Springer, 2017 - Springer
Over the past decade, the use of networks has led to a new modelling paradigm combining
several branches of science, including physics, mathematics, biology and social sciences …

A simplicial epidemic model for COVID-19 spread analysis

Y Chen, YR Gel, MV Marathe… - Proceedings of the …, 2024 - National Acad Sciences
Networks allow us to describe a wide range of interaction phenomena that occur in complex
systems arising in such diverse fields of knowledge as neuroscience, engineering, ecology …

Big networks: A survey

HD Bedru, S Yu, X Xiao, D Zhang, L Wan, H Guo… - Computer Science …, 2020 - Elsevier
A network is a typical expressive form of representing complex systems in terms of vertices
and links, in which the pattern of interactions amongst components of the network is intricate …

Two competing simplicial irreversible epidemics on simplicial complex

W Li, Y Nie, W Li, X Chen, S Su, W Wang - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
Higher-order interactions have significant implications for the dynamics of competing
epidemic spreads. In this paper, a competing spread model for two simplicial irreversible …

[HTML][HTML] Modelling: understanding pandemics and how to control them

G Marion, L Hadley, V Isham, D Mollison… - Epidemics, 2022 - Elsevier
New disease challenges, societal demands and better or novel types of data, drive
innovations in the structure, formulation and analysis of epidemic models. Innovations in …

[HTML][HTML] Higher-order interactions disturb community detection in complex networks

Y Liu, Y Fan, A Zeng - Physics Letters A, 2024 - Elsevier
Edges are the most basic structures in complex networks, representing relationships of node
pairs. However, many higher-order interactions in reality are beyond node-to-node …

Impact of higher order network structure on emergent cortical activity

M Nolte, E Gal, H Markram, MW Reimann - Network Neuroscience, 2020 - direct.mit.edu
Synaptic connectivity between neocortical neurons is highly structured. The network
structure of synaptic connectivity includes first-order properties that can be described by …

Generation and analysis of networks with a prescribed degree sequence and subgraph family: higher-order structure matters

M Ritchie, L Berthouze, IZ Kiss - Journal of complex networks, 2017 - ieeexplore.ieee.org
Designing algorithms that generate networks with a given degree sequence while varying
both subgraph composition and distribution of subgraphs around nodes is an important but …