Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criticality of rumor propagation on small-world networks   We show that a simple model for the propagation of a rumor on a small-world
network exhibits critical behavior at a finite randomness of the underlying
graph. The transition occurs between a regime where the rumor "dies" in a small
neighborhood of its origin, and a regime where it spreads over a finite
fraction of the whole population. Critical exponents are evaluated through
finite-size scaling analysis, and the dependence of the critical randomness
with the network connectivity is studied. The behavior of this system as a
function of the network randomness bears noticeable similarities with an
epidemiological model reported recently [M. Kuperman and G. Abramson, Phys.
Rev. Lett. 86, 2909 (2001)], in spite of substantial differences in the
respective dynamical rules.

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The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat