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Percolation in networks of networks with random matching of nodes in different layers
Ginestra Bianconi, Sergey N. Dorogovtsev
We consider robustness and percolation properties of the networks of networks, in which random nodes in different individual networks (layers) can be interdependent. We explore the…
Giant components in directed multiplex networks
N. Azimi-Tafreshi, S. N. Dorogovtsev, J. F. F. Mendes
We describe the complex global structure of giant components in directed multiplex networks which generalizes the well-known bow-tie structure, generic for ordinary directed networ…
k-Core percolation on multiplex networks
N. Azimi-Tafreshi, J. Gomez-Gardenes, S. N. Dorogovtsev
We generalize the theory of k-core percolation on complex networks to k-core percolation on multiplex networks, where k=(k_a, k_b, ...). Multiplex networks can be defined as networ…
Solution of the explosive percolation quest: Scaling functions and critical exponents
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
Percolation refers to the emergence of a giant connected cluster in a disordered system when the number of connections between nodes exceeds a critical value. The percolation phase…
Biased imitation in coupled evolutionary games in interdependent networks
M. D. Santos, S. N. Dorogovtsev, J. F. F. Mendes
We explore the evolutionary dynamics of two games - the Prisoner's Dilemma and the Snowdrift Game - played within distinct networks (layers) of interdependent networks. In these ne…
Critical exponents of the explosive percolation transition
R. A. da Costa, S. N. Dorogovtsev, A. V. Goltsev +1
In a new type of percolation phase transition, which was observed in a set of non-equilibrium models, each new connection between vertices is chosen from a number of possibilities…
Multiple percolation transitions in a configuration model of network of networks
Ginestra Bianconi, Sergey N. Dorogovtsev
Recently much attention has been paid to the study of the robustness of interdependent and multiplex networks and, in particular, networks of networks. The robustness of interdepen…
Mutually connected component of network of networks with replica nodes
Ginestra Bianconi, Sergey N. Dorogovtsev, José F. F. Mendes
We describe the emergence of the giant mutually connected component in networks of networks in which each node has a single replica node in any layer and can be interdependent only…