Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scaling Invariance in Spectra of Complex Networks: A Diffusion Factorial
  Moment Approach   A new method called diffusion factorial moment (DFM) is used to obtain
scaling features embedded in spectra of complex networks. For an Erdos-Renyi
network with connecting probability $p_{ER} < \frac{1}{N}$, the scaling
parameter is $\delta = 0.51$, while for $p_{ER} \ge \frac{1}{N}$ the scaling
parameter deviates from it significantly. For WS small-world networks, in the
special region $p_r \in [0.05,0.2]$, typical scale invariance is found. For GRN
networks, in the range of $\theta\in[0.33,049]$, we have $\delta=0.6\pm 0.1$.
And the value of $\delta$ oscillates around $\delta=0.6$ abruptly. In the range
of $\theta\in[0.54,1]$, we have basically $\delta>0.7$. Scale invariance is one
of the common features of the three kinds of networks, which can be employed as
a global measurement of complex networks in a unified way.

25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int