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Hypergraphs and simplicial complexes in focus: A roadmap for future research in higher-order interactions
This roadmap surveys mathematical and scientific challenges for hypergraphs and simplicial complexes, including spectral theory, …
DOI paper
Shortest-path percolation on scale-free networks
The shortest-path percolation model describes the consumption and exhaustion of network resources. This work studies the transition on …
DOI paper arxiv
Triadic percolation on multilayer networks
This work generalizes triadic percolation to multilayer networks. The multilayer model displays richer dynamics than its single-layer …
DOI paper arxiv
Spatio-temporal activity patterns induced by triadic interactions in an in silico neural medium
Triadic interactions are general mechanisms by which a node or neuron can regulate directly the link or synapse between other two …
DOI paper arxiv
Unveiling the importance of nonshortest paths in quantum networks
Quantum networks can display stronger connectivity than classical percolation predicts. This work studies how nonshortest paths …
DOI paper
Topology shapes dynamics of higher-order networks
Higher-order networks capture many-body interactions and reveal how topology and dynamics shape one another in complex systems. This …
DOI paper
Higher-order triadic percolation on random hypergraphs
In this work, we propose a comprehensive theoretical framework combining percolation theory with nonlinear dynamics to study …
Cite DOI arxiv
Triadic percolation induces dynamical topological patterns in higher-order networks
Triadic interactions in spatial networks induce complex spatio-temporal modulation of the giant component. The resulting topological …
DOI paper arxiv
Network science: Ising states of matter
Network science provides very powerful tools for extracting information from interacting data. Although recently the unsupervised …
Cite DOI arxiv
Network science: Ising states of matter
Non-parametric learning critical behavior in Ising partition functions: PCA entropy and intrinsic dimension
This work studies non-parametric methods for learning critical behavior in Ising partition functions. It compares intrinsic dimension …
DOI paper arxiv