Real systems are characterized by complex patterns of interactions between their units, by dynamical processes on them, and by the interplay of the two. It is well-known that particular structures affect dynamical processes at different scales. Sometimes richly connected units are connected by costly, long-range links. In the brain, hubs form rich-clubs for integrating information between different brain regions, and many biological and social networks show this same structural organization. It remains, however, unclear if it alone enables a rapid communication between highly connected nodes or if a functional rich-club may emerge as a combination of direct links and longer paths between rich nodes. Here, we identify functional rich-clubs through the diffusion geometry, providing a new perspective to rich-club phenomena in complex networks. We show that weak structural rich-clubs may be functionally stronger, thanks to bridge nodes, while diffusion inside strong structural rich-clubs may be damped in modular networks.

Functional rich clubs emerging from the diffusion geometry of complex networks / Bertagnolli, Giulia; De Domenico, Manlio. - In: PHYSICAL REVIEW RESEARCH. - ISSN 2643-1564. - 4:3(2022). [10.1103/PhysRevResearch.4.033185]

Functional rich clubs emerging from the diffusion geometry of complex networks

Bertagnolli, Giulia;De Domenico, Manlio
2022-01-01

Abstract

Real systems are characterized by complex patterns of interactions between their units, by dynamical processes on them, and by the interplay of the two. It is well-known that particular structures affect dynamical processes at different scales. Sometimes richly connected units are connected by costly, long-range links. In the brain, hubs form rich-clubs for integrating information between different brain regions, and many biological and social networks show this same structural organization. It remains, however, unclear if it alone enables a rapid communication between highly connected nodes or if a functional rich-club may emerge as a combination of direct links and longer paths between rich nodes. Here, we identify functional rich-clubs through the diffusion geometry, providing a new perspective to rich-club phenomena in complex networks. We show that weak structural rich-clubs may be functionally stronger, thanks to bridge nodes, while diffusion inside strong structural rich-clubs may be damped in modular networks.
2022
3
Bertagnolli, Giulia; De Domenico, Manlio
Functional rich clubs emerging from the diffusion geometry of complex networks / Bertagnolli, Giulia; De Domenico, Manlio. - In: PHYSICAL REVIEW RESEARCH. - ISSN 2643-1564. - 4:3(2022). [10.1103/PhysRevResearch.4.033185]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/354325
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