Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlated network of networks enhances robustness against catastrophic
  failures   Networks in nature rarely function in isolation but instead interact with one
another with a form of a network of networks (NoN). A network of networks with
interdependency between distinct networks contains instability of abrupt
collapse related to the global rule of activation. As a remedy of the collapse
instability, here we investigate a model of correlated NoN. We find that the
collapse instability can be removed when hubs provide the majority of
interconnections and interconnections are convergent between hubs. Thus, our
study identifies a stable structure of correlated NoN against catastrophic
failures. Our result further suggests a plausible way to enhance network
robustness by manipulating connection patterns, along with other methods such
as controlling the state of node based on a local rule.

14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin