Feature-enriched core percolation in multiplex networks

Shang, Yilun (2022) Feature-enriched core percolation in multiplex networks. Physical Review E, 106 (5). 054314. ISSN 2470-0045

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Official URL: https://doi.org/10.1103/PhysRevE.106.054314


Percolation models have long served as a paradigm for unraveling the structure and resilience of complex systems comprising interconnected nodes. In many real networks, nodes are identified by not only their connections but nontopological metadata such as age and gender in social systems, geographical location in infrastructure networks, and component contents in biochemical networks. However, there is little known regarding how the nontopological features influence network structures under percolation processes. In this paper we introduce a feature-enriched core percolation framework using a generic multiplex network approach. We thereby analytically determine the corona cluster, size, and number of edges of the feature-enriched cores. We find a hybrid percolation transition combining a jump and a square root singularity at the critical points in both the network connectivity and the feature space. Integrating the degree-feature distribution with the Farlie-Gumbel-Morgenstern copula, we show the existence of continuous and discrete percolation transitions for feature-enriched cores at critical correlation levels. The inner and outer cores are found to undergo distinct phase transitions under the feature-enriched percolation, all limited by a characteristic curve of the feature distribution.

Item Type: Article
Subjects: F300 Physics
G400 Computer Science
G500 Information Systems
Department: Faculties > Engineering and Environment > Computer and Information Sciences
Depositing User: Elena Carlaw
Date Deposited: 06 Jan 2023 11:02
Last Modified: 06 Jan 2023 11:15
URI: https://nrl.northumbria.ac.uk/id/eprint/51069

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