Dynamics on higher-order networks: a review

Author:

Majhi Soumen1ORCID,Perc Matjaž2345ORCID,Ghosh Dibakar6ORCID

Affiliation:

1. Department of Mathematics, Bar-Ilan University, Ramat-Gan 5290002, Israel

2. Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška cesta 160, 2000 Maribor, Slovenia

3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

4. Complexity Science Hub Vienna, Josefstödter Straße 39, 1080 Vienna, Austria

5. Alma Mater Europaea, Slovenska ulica 17, 2000 Maribor, Slovenia

6. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India

Abstract

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 nodes, to comprehensively describe group interactions. Higher-order networks, where a link can connect more than two nodes, have therefore emerged as a new frontier in network science. Since group interactions are common in social, biological and technological systems, higher-order networks have recently led to important new discoveries across many fields of research. Here, we review these works, focusing in particular on the novel aspects of the dynamics that emerges on higher-order networks. We cover a variety of dynamical processes that have thus far been studied, including different synchronization phenomena, contagion processes, the evolution of cooperation and consensus formation. We also outline open challenges and promising directions for future research.

Funder

Javna Agencija za Raziskovalno Dejavnost RS

Publisher

The Royal Society

Subject

Biomedical Engineering,Biochemistry,Biomaterials,Bioengineering,Biophysics,Biotechnology

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