Hidden multiscale organization and robustness of real multiplex networks

Fuente: arXiv
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Autores principales: Son, Gangmin, Ha, Meesoon, Jeong, Hawoong
Formato: Preprint
Publicado: 2023
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author Son, Gangmin
Ha, Meesoon
Jeong, Hawoong
author_facet Son, Gangmin
Ha, Meesoon
Jeong, Hawoong
contents Hidden geometry enables the investigation of complex networks at different scales. Extending this framework to multiplex networks, we uncover a novel kind of mesoscopic organization in real multiplex systems, named $\textit{clan}$, a group of nodes that preserve their local geometric arrangement across layers. Furthermore, we reveal the intimate relationship between the unfolding of clan structure and mutual percolation against targeted attacks, leading to an ambivalent role of clans: making a system fragile yet less prone to complete shattering. Finally, we confirm the correlation between the multiscale nature of geometric organization and the overall robustness. Our findings expand the significance of hidden geometry in network function, while also highlighting potential pitfalls in evaluating and controlling catastrophic failure of multiplex systems.
format Preprint
id arxiv_https___arxiv_org_abs_2307_01293
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Hidden multiscale organization and robustness of real multiplex networks
Son, Gangmin
Ha, Meesoon
Jeong, Hawoong
Physics and Society
Disordered Systems and Neural Networks
Statistical Mechanics
Hidden geometry enables the investigation of complex networks at different scales. Extending this framework to multiplex networks, we uncover a novel kind of mesoscopic organization in real multiplex systems, named $\textit{clan}$, a group of nodes that preserve their local geometric arrangement across layers. Furthermore, we reveal the intimate relationship between the unfolding of clan structure and mutual percolation against targeted attacks, leading to an ambivalent role of clans: making a system fragile yet less prone to complete shattering. Finally, we confirm the correlation between the multiscale nature of geometric organization and the overall robustness. Our findings expand the significance of hidden geometry in network function, while also highlighting potential pitfalls in evaluating and controlling catastrophic failure of multiplex systems.
title Hidden multiscale organization and robustness of real multiplex networks
topic Physics and Society
Disordered Systems and Neural Networks
Statistical Mechanics
url https://arxiv.org/abs/2307.01293