@article{Zhou2013,
author = "Di Zhou and Jianxi Gao and H. Eugene Stanley and Shlomo Havlin",
abstract = "We study the percolation behavior of two interdependent scale-free (SF) networks under random failure of 1-p fraction of nodes. Our results are based on numerical solutions of analytical expressions and simulations. We find that as the coupling strength between the two networks q reduces from 1 (fully coupled) to 0 (no coupling), there exist two critical coupling strengths q1 and q2, which separate three different regions with different behavior of the giant component as a function of p. (i) For q≥q1, an abrupt collapse transition occurs at p=pc. (ii) For q23, q1 decreases with increasing $\lambda$. Here, $\lambda$ is the scaling exponent of the degree distribution, P(k)∝k−$\lambda$. (b) In the hybrid transition, at the q20 for $\lambda$>3. Thus, the known theoretical pc=0 for a single network with $\lambda$⩽3 is expected to be valid also for strictly partial interdependent networks.",
doi = "10.1103/PhysRevE.87.052812",
issn = "1539-3755",
journal = "Physical Review E",
month = "may",
number = "5",
pages = "052812",
title = "{P}ercolation of partially interdependent scale-free networks",
url = "http://link.aps.org/doi/10.1103/PhysRevE.87.052812",
volume = "87",
year = "2013",
}