Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality of critical exponent in scale-free networks   We study the statistical properties of observables in scale-free networks
under the degree-thresholding renormalization (DTR) transformation. For BA
scale-free networks at different scales, we find that their structural and
dynamical observables have similar scaling behavior along the DTR flow. The
finite-size scaling analysis confirms this view and reveals a scaling function
with a single critical exponent that collectively captures the changes of these
observables. Furthermore, by using the DTR technique, we obtain multiple
downscaled subnetworks of the real scale-free network with a single resolution.
An interesting result is that these observables of real scale-free networks and
their subnetworks share the same critical exponent as the BA synthetic network.
Our findings have important guiding significance for analyzing the critical
behavior of networks. Such as in large-scale simulation scenarios with high
time complexity, downscaled networks could serve as a substitute or guide for
the initial network, and then quickly exploring the crucial behavior of
networks.

30
The categories of this paper are: q-alg
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat