The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Percolation Centrality: Quantifying Graph-Theoretic Impact of Nodes during Percolation in Networks
Open accessAbstract
A number of centrality measures are available to determine the relative importance of a node in a complex network, and betweenness is prominent among them. However, the existing centrality measures are not adequate in network percolation scenarios (such as during infection transmission in a social network of individuals, spreading of computer viruses on computer networks, or transmission of disease over a network of towns) because they do not account for the changing percolation states of individual nodes. We propose a new measure, percolation centrality, that quantifies relative impact of nodes based on their topological connectivity, as well as their percolation states. The measure can be extended to include random walk based definitions, and its computational complexity is shown to be of the same order as that of betweenness centrality. We demonstrate the usage of percolation centrality by applying it to a canonical network as well as simulated and real world scale-free and random networks.
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Citations
Cites
Centrality in social networks conceptual clarification
Freeman, L. C. (1978) · Social Networks · doi:10.1016/0378-8733(78)90021-7 · Cited by 17,062
Barabási, A.-L., & Bonabeau, E. (2003) · Scientific American · doi:10.1038/scientificamerican0503-60 · Cited by 2,494
Network theory and SARS: predicting outbreak diversity
Meyers, L. A., Pourbohloul, B., Newman, M. E. J., Skowronski, D. M., & Brunham, R. C. (2005) · Journal of Theoretical Biology · doi:10.1016/j.jtbi.2004.07.026 · Cited by 705
Cited by
Percolation on complex networks: Theory and application
Li, M., Liu, R.-R., Lü, L., Hu, M.-B., Xu, S., & Zhang, Y.-C. (2021) · Physics Reports · doi:10.1016/j.physrep.2020.12.003 · Cited by 365
Metadata
- Authors
- Piraveenan, M., Prokopenko, M., & Hossain, L.
- Venue
- PLoS ONE
- Publisher
- Public Library of Science (PLoS)
- Published
- 2013-01-22
- Volume
- 8
- Issue
- 1
- Pages
- e53095
- ISSN
- 1932-6203 (ISSN-L)
- OpenAlex
- W2156655865
- Cited by
- 196
- References
- 3
- FWCI
- 8.37
- Type
- journal article
- Language
- en
- Open access
- gold
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- Piraveenan, M., Prokopenko, M., & Hossain, L. (2013). Percolation Centrality: Quantifying Graph-Theoretic Impact of Nodes during Percolation in Networks. PLoS ONE. https://doi.org/10.1371/journal.pone.0053095
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