Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuations in percolation of sparse complex networks   We study the role of fluctuations in percolation of sparse complex networks.
To this end we consider two random correlated realizations of the initial
damage of the nodes and we evaluate the fraction of nodes that are expected to
remain in the giant component of the network in both cases or just in one case.
Our framework includes a message-passing algorithm able to predict the
fluctuations in a single network, and an analytic prediction of the expected
fluctuations in ensembles of sparse networks. This approach is applied to real
ecological and infrastructure networks and it is shown to characterize the
expected fluctuations in their response to external damage.

24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org