Neuroscience needs network science

DL Barabási, G Bianconi, E Bullmore… - Journal of …, 2023 - Soc Neuroscience
The brain is a complex system comprising a myriad of interacting neurons, posing significant
challenges in understanding its structure, function, and dynamics. Network science has …

Percolation theories for quantum networks

X Meng, X Hu, Y Tian, G Dong, R Lambiotte, J Gao… - Entropy, 2023 - mdpi.com
Quantum networks have experienced rapid advancements in both theoretical and
experimental domains over the last decade, making it increasingly important to understand …

Turing patterns on discrete topologies: from networks to higher-order structures

R Muolo, L Giambagli, H Nakao, D Fanelli… - Proceedings …, 2024 - royalsocietypublishing.org
Nature is a blossoming of regular structures, signature of self-organization of the underlying
microscopic interacting agents. Turing theory of pattern formation is one of the most studied …

Information propagation in multilayer systems with higher-order interactions across timescales

G Nicoletti, DM Busiello - Physical Review X, 2024 - APS
Complex systems are characterized by multiple spatial and temporal scales. A natural
framework to capture their multiscale nature is that of multilayer networks, where different …

[HTML][HTML] Topology and dynamics of higher-order multiplex networks

S Krishnagopal, G Bianconi - Chaos, Solitons & Fractals, 2023 - Elsevier
Higher-order networks are gaining significant scientific attention due to their ability to
encode the many-body interactions present in complex systems. However, higher-order …

Theory of percolation on hypergraphs

G Bianconi, SN Dorogovtsev - Physical Review E, 2024 - APS
Hypergraphs capture the higher-order interactions in complex systems and always admit a
factor graph representation, consisting of a bipartite network of nodes and hyperedges. As …

Nature of hypergraph -core percolation problems

G Bianconi, SN Dorogovtsev - Physical Review E, 2024 - APS
Hypergraphs are higher-order networks that capture the interactions between two or more
nodes. Hypergraphs can always be represented by factor graphs, ie, bipartite networks …

A unified framework for Simplicial Kuramoto models

M Nurisso, A Arnaudon, M Lucas, RL Peach… - … Journal of Nonlinear …, 2024 - pubs.aip.org
Simplicial Kuramoto models have emerged as a diverse and intriguing class of models
describing oscillators on simplices rather than nodes. In this paper, we present a unified …

[HTML][HTML] Dynamics of cascades in spatial interdependent networks

B Gross, I Bonamassa, S Havlin - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
The dynamics of cascading failures in spatial interdependent networks significantly depends
on the interaction range of dependency couplings between layers. In particular, for an …

Synchronization in temporal simplicial complexes

MS Anwar, D Ghosh - SIAM Journal on Applied Dynamical Systems, 2023 - SIAM
The stability analysis of synchronization in time-varying higher-order networked structures
(simplicial complexes) is a challenging problem due to the presence of time-varying group …