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Preprint

Roni Parshani , Sergey V. Buldyrev , Shlomo Havlin

22 April 2010

We study a system composed from two interdependent networks A and B, where a fraction of the nodes in network A depends on the nodes of network B and a fraction of the nodes in network B depends on the nodes of network A. Due to the coupling between the networks when nodes in one network fail they cause dependent nodes in the other network to also fail. This invokes an iterative cascade of failures in both networks. When a critical fraction of nodes fail the iterative process results in a percolation phase transition that completely fragments both networks. We show both analytically and numerically that reducing the coupling between the networks leads to a change from a first order percolation phase transition to a second order percolation transition at a critical point. The scaling of the percolation order parameter near the critical point is characterized by the critical exponent beta=1.

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Reka Albert, Albert-László Barabási (2001)

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Daniel ben-Avraham, Shlomo Havlin, Keren Erez … (2000)

10.1103/PhysRevLett.105.048701

1004.3989

http://arxiv.org/licenses/nonexclusive-distrib/1.0/