# Percolation on complex networks: Theory and application

@article{Li2021PercolationOC,
title={Percolation on complex networks: Theory and application},
author={Ming Li and Run-Ran Liu and Linyuan L{\"u} and Maobin Hu and Shuqi Xu and Yi-Cheng Zhang},
journal={Physics Reports},
year={2021},
volume={907},
pages={1-68}
}
• Published 27 January 2021
• Computer Science
• Physics Reports

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## References

SHOWING 1-10 OF 545 REFERENCES

• Computer Science
EPJ Data Science
• 2018
MUME is proposed, an efficient algorithm for Multi-modal Urban Mobility Estimation, that takes advantage of the special structure of the supra-Laplacian matrix of the transportation multiplex, to compute the coverage of the system.
• Computer Science
The European Physical Journal Special Topics
• 2014
Recent advances in the theoretical understanding of the vulnerabilities of interdependent networks with and without spatial embedding, attack strategies and their affect on such networks of networks as well as recently developed strategies to optimize and repair failures caused by such attacks are reviewed.
• Computer Science
• 2020
This paper shows that the fractal structure, of which the average distance is very long, does not always play a negative role in the organization of cooperation, and suggests that both removing and inserting links from/into a regular network can enhance cooperation.
• Mathematics
Journal of Statistical Mechanics: Theory and Experiment
• 2020
The critical properties of the DOP transition are derived, in particular how the exponents depend on the heterogeneity of the network, determining that DOP does not belong to the universality class of random percolation for $\gamma \le 3$.
• Mathematics
Physical review. E
• 2021
This paper uses the natural generalization to the Molloy-Reed criterion for these networks to describe their critical properties and derive an approximate analytical description of the size of the giant component, providing solutions for Poisson and power-law networks.
• Physics
Physical review. E
• 2020
The history-dependent percolation in two dimensions, which evolves in generations from standard bond-percolation configurations through iteratively removing occupied bonds, undergoes a continuous phase transition, which, for any finite number of generations, falls into the universality of standard two-dimensional (2D)Percolation.
• Physics
Physical review. E
• 2020
The interplay between the topology of pseudofractal simplicial and cell complexes and their dynamics is investigated by characterizing the critical properties of link percolation defined on these structures by using the renormalization group.
• Economics
Science
• 2020
A parsimonious model is introduced that captures both quarantine of symptomatic infected individuals, as well as population-wide isolation practices in response to containment policies or behavioral changes, and shows that the model captures the observed growth behavior accurately.
This work has analyzed the growth behavior of the top 25 most affected countries by means of a local slope analysis and found three distinct patterns that individual countries follow depending on the strictness of the lockdown protocols: rise and fall, power law, or logistic.