Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Resilience to damage of graphs with degree correlations   The existence or not of a percolation threshold on power law correlated
graphs is a fundamental question for which a general criterion is lacking. In
this work we investigate the problems of site and bond percolation on graphs
with degree correlations and their connection with spreading phenomena. We
obtain some general expressions that allow the computation of the transition
thresholds or their bounds. Using these results we study the effects of
assortative and disassortative correlations on the resilience to damage of
networks.

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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga