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Cited by 365

The DOI matches its Crossref record; 396 of the 396 references it cites were found in a registry or an index.

Percolation on complex networks: Theory and application

Open access
Li, Ming, Liu, Run-Ran, Lü, Linyuan, Hu, Mao-Bin, Xu, Shuqi, Zhang, Yi-Cheng·2021·Physics Reports
DOI 10.1016/j.physrep.2020.12.003
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Abstract

Abstract In the last two decades, network science has blossomed and influenced various fields, such as statistical physics, computer science, biology and sociology, from the perspective of the heterogeneous interaction patterns of components composing the complex systems. As a paradigm for random and semi-random connectivity, percolation model plays a key role in the development of network science and its applications. On the one hand, the concepts and analytical methods, such as the emergence of the giant cluster, the finite-size scaling, and the mean-field method, which are intimately related to the percolation theory, are employed to quantify and solve some core problems of networks. On the other hand, the insights into the percolation theory also facilitate the understanding of networked systems, such as robustness, epidemic spreading, vital node identification, and community detection. Meanwhile, network science also brings some new issues to the percolation theory itself, such as percolation of strong heterogeneous systems, topological transition of networks beyond pairwise interactions, and emergence of a giant cluster with mutual connections. So far, the percolation theory has already percolated into the researches of structure analysis and dynamic modeling in network science. Understanding the percolation theory should help the study of many fields in network science, including the still opening questions in the frontiers of networks, such as networks beyond pairwise interactions, temporal networks, and network of networks. The intention of this paper is to offer an overview of these applications, as well as the basic theory of percolation transition on network systems.

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Citations

Cites

Items 201–396 of 396

Metadata

Authors
Li, M., Liu, R.-R., Lü, L., Hu, M.-B., Xu, S., & Zhang, Y.-C.
Venue
Physics Reports
Publisher
Elsevier BV
Published
2021-04
Volume
907
Pages
1-68
ISSN
0370-1573 (ISSN-L)
DOI
10.1016/j.physrep.2020.12.003
OpenAlex
W3122998099
Cited by
365
References
396
FWCI
22.29
Type
journal article
Language
en
Open access
green

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