Learning Resources

Unraveling high-order interactions in electrophysiological brain signals using elliptical distributions: Moving beyond the Gaussian approximation

BeyondTheEdge output on high-order interactions in electrophysiological brain signals using elliptical distributions

2/5/2025

Publication

Higher-order dissimilarity measures for hypergraph comparison

BeyondTheEdge research output on hypergraph comparison

21/3/2025

Publication

Bear Networks

The mathematics of networks introduced by soccer loving bears.

14/5/2024

Publication

What Are Higher-Order Networks?

In this overview article, the authors explain what higher-order networks are, why they may be important, and how they influence dynamics.

8/8/2023

Publication

BeyondTheEdge Supervision Guidelines

For the supervision of PhD students

25/3/2024

Publication

Complex Networks beyond Pairwise Interactions: From Theory to Applications

BeyondTheEdge researcher Pietro De Lellis is co-organizing a school and conference in Natal, Brazil

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For future researchers in higher-order networks

Higher-order networks and dynamics is an emerging field at the intersection of dynamical systems (theme "Foundations"), network science (theme "Structure"), and data science (data). The resources here provide an introduction to the field aimed for a scientific audience, from established researchers curious about higher-order networks, to beginning PhD students with an interest in network science.

Our Cutting Edge Research

Reading list

An introduction to higher-order networks and dynamics from mathematical and physical viewpoints.

What are higher-order networks?

C. Bick, E. Gross, H. A. Harrington, M. T. Schaub. SIAM Review 65, 686–731 (2023). doi:10.1137/21M1414024 [Open Access]

Higher-Order Networks: An introduction to simplicial complexes

G. Bianconi. Cambridge University Press

The physics of higher-order interactions in complex systems

F. Battiston et al. Nat. Phys. 17, 1093–1098 (2021). doi:10.1038/s41567-021-01371-4F

Networks beyond pairwise interactions: Structure and dynamics

F. Battiston et al. Physics Reports 874, 1–92 (2020). doi:10.1016/j.physrep.2020.05.004