The structure and dynamics of networks with higher order interactions
Fecha
2023
Título de la revista
ISSN de la revista
Título del volumen
Editor
Elsevier
Resumen
All beauty, richness and harmony in the emergent dynamics of a complex system
largely depend on the specific way in which its elementary components interact. The
last twenty-five years have seen the birth and development of the multidisciplinary
field of Network Science, wherein a variety of distributed systems in physics, biology,
social sciences and engineering have been modeled as networks of coupled units, in
the attempt to unveil the mechanisms underneath their observed functionality. There
is, however, a fundamental limit to such a representation: networks capture only
pairwise interactions, whereas the functioning of many real-world systems not only
involves dyadic connections, but rather is the outcome of collective actions at the
level of groups of nodes. For instance, in ecological systems, three or more species
may compete for food or territory, and similar multi-component interactions appear
in functional and structural brain networks, protein interaction networks, semantic
networks, multi-authors scientific collaborations, offline and online social networks, gene
regulatory networks and spreading of consensus or contagious diseases due to multiple,
simultaneous, contacts. Such multi-component interactions can only be grasped through
either hypergraphs or simplicial complexes, which indeed have recently found a huge
number of applications. In this report, we cover the extensive literature of the past
years on this subject, and we focus on the structure and dynamics of hypergraphs and
simplicial complexes. These are indeed becoming increasingly relevant, thanks to the
enhanced resolution of data sets and the recent advances in data analysis techniques,
which (concurrently and definitely) have shown that such structures play a pivotal role
in the complex organization and functioning of real-world distributed systems.
Descripción
Citación
S. Boccaletti, P. De Lellis, C.I. del Genio, K. Alfaro-Bittner, R. Criado, S. Jalan, M. Romance, The structure and dynamics of networks with higher order interactions, Physics Reports, Volume 1018, 2023, Pages 1-64, ISSN 0370-1573, https://doi.org/10.1016/j.physrep.2023.04.002
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