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.
Serrano et al. REF introduce a framework to analyze percolation properties of random clustered networks and small world-scale free networks.
Percolation and epidemic thresholds in clustered networks
Physical Review Letters 97, 088701 (2006)
Physics Medicine