Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution of site and bond percolation on small-world networks   We study percolation on small-world networks, which has been proposed as a
simple model of the propagation of disease. The occupation probabilities of
sites and bonds correspond to the susceptibility of individuals to the disease
and the transmissibility of the disease respectively. We give an exact solution
of the model for both site and bond percolation, including the position of the
percolation transition at which epidemic behavior sets in, the values of the
two critical exponents governing this transition, and the mean and variance of
the distribution of cluster sizes (disease outbreaks) below the transition.

7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
2
The categories of this paper are: math
14
The categories of this paper are: math-ph