Percolation behaviors of finite components on complex networks

Article Mathematics, Applied

Phase transition behavior of finite clusters under localized attack

Ting Qing et al.

Summary: This study investigates the phase transition behavior of functional nodes belonging to finite clusters under localized attacks (LA) using a percolation framework. The results reveal that the network exhibits second-order phase transition, with the critical threshold increasing significantly with increasing cluster size. Furthermore, a new scaling relationship between the fraction of finite clusters and cluster size is discovered.

CHAOS (2022)

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Article Multidisciplinary Sciences

Efficient network immunization under limited knowledge

Yangyang Liu et al.

Summary: The study introduces a novel immunization strategy where only the most central node among a group of n observed nodes is immunized, leading to significant improvement in immunization even for small n. The analytical framework developed in the study determines critical percolation threshold and the size of giant component for networks with arbitrary degree distributions. The results show a scaling relationship between p(c)(infinity) - p(c) (n) and n, indicating a rapid increase in p(c) towards its optimal value as n increases.

NATIONAL SCIENCE REVIEW (2021)

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Article Mathematics, Applied

Percolation on coupled networks with multiple effective dependency links

Gaogao Dong et al.

Summary: This paper studies the structural robustness of coupled networks with multiple useful dependency links, presents exact analytical expressions for the process of cascading failures, the fraction of functional nodes in the stable state, and the critical threshold, and finds that the system needs more internal connection densities to avoid collapse under different multiple effective dependency links.

CHAOS (2021)

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Article Multidisciplinary Sciences

Optimal resilience of modular interacting networks

Gaogao Dong et al.

Summary: The research indicates that in modular networks, an optimal fraction of interconnected nodes exists where the system becomes optimally resilient and is able to withstand more damage. Although the exact location of the optimal fraction varies based on the coupling patterns, there exists such an optimal point for all coupling patterns.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2021)

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Article Multidisciplinary Sciences