Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple percolation transitions in a configuration model of network of
  networks   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 interdependent networks can be evaluated by the size of a
mutually connected component when a fraction of nodes have been removed from
these networks. Here we characterize the emergence of the mutually connected
component in a network of networks in which every node of a network (layer)
$\alpha$ is connected with $q_{\alpha}$ randomly chosen replicas in some other
networks and is interdependent of these nodes with probability $r$. We find
that when the superdegrees $q_{\alpha}$ of different layers in the network of
networks are distributed heterogeneously, multiple percolation phase transition
can occur, and depending on the value of $r$ these transition are continuous or
discontinuous.

25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ