Percolation and Epidemic Thresholds in Clustered Networks

Details Percolation and Epidemic Thresholds in Clustered Networks Percolation and Epidemic Thresholds in Clustered Networks

2006-03-13

arxiv.org/abs/cond-mat/0603353v2

Physical Review Letters 97, 088701 (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 Pages and 3 Figures. Final version to appear in PRL

Scientific paper

10.1103/PhysRevLett.97.088701

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 extending, thus, 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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