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Percolation and epidemic thresholds in clustered networks
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We develop a theoretical approach to percolation in random clustered networks. We find that, although clustering in scale-free networks can strongly affect some percolation properties, such as the size and the resilience of the giant connected component, it cannot restore a finite percolation threshold. In turn, this implies the absence of an epidemic threshold in this class of networks, thus extending this result to a wide variety of real scale-free networks which shows a high level of transitivity. Our findings are in good agreement with numerical simulations.
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SERRANO MORAL, Ma. Ángeles (María Ángeles) and BOGUÑÁ, Marián. Percolation and epidemic thresholds in clustered networks. Physical Review Letters. 2006. Vol. 97, num. 8, pags. 088701-1-088701-4. ISSN 0031-9007. [consulted: 13 of August of 2026]. Available at: https://hdl.handle.net/2445/13288