[LIVRE][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 …

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 …

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 …

Higher-order percolation processes on multiplex hypergraphs

H Sun, G Bianconi - Physical Review E, 2021 - APS
Higher-order interactions are increasingly recognized as a fundamental aspect of complex
systems ranging from the brain to social contact networks. Hypergraphs as well as simplicial …

Hypergraphx: a library for higher-order network analysis

QF Lotito, M Contisciani, C De Bacco… - Journal of Complex …, 2023 - academic.oup.com
From social to biological systems, many real-world systems are characterized by higher-
order, non-dyadic interactions. Such systems are conveniently described by hypergraphs …

Forecasting the future of artificial intelligence with machine learning-based link prediction in an exponentially growing knowledge network

M Krenn, L Buffoni, B Coutinho, S Eppel… - Nature Machine …, 2023 - nature.com
A tool that could suggest new personalized research directions and ideas by taking insights
from the scientific literature could profoundly accelerate the progress of science. A field that …

A threshold model of cascading failure on random hypergraphs

RR Liu, CX Jia, M Li, F Meng - Chaos, Solitons & Fractals, 2023 - Elsevier
Higher-order interactions are ubiquitous in the real world and play a critical role in
maintaining the overall function of complex systems. To investigate the effects of higher …

Emergent hyperbolic network geometry

G Bianconi, C Rahmede - Scientific reports, 2017 - nature.com
A large variety of interacting complex systems are characterized by interactions occurring
between more than two nodes. These systems are described by simplicial complexes …

Modeling and analysis of cascading failures in multilayer higher-order networks

C Qian, D Zhao, M Zhong, H Peng, W Wang - Reliability Engineering & …, 2025 - Elsevier
With the increasing application of network science, understanding the behavior of higher-
order networks has become particularly important. Especially, the study of multilayer higher …

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 …