Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What exactly are the properties of scale-free and other networks?   The concept of scale-free networks has been widely applied across natural and
physical sciences. Many claims are made about the properties of these networks,
even though the concept of scale-free is often vaguely defined. We present
tools and procedures to analyse the statistical properties of networks defined
by arbitrary degree distributions and other constraints. Doing so reveals the
highly likely properties, and some unrecognised richness, of scale-free
networks, and casts doubt on some previously claimed properties being due to a
scale-free characteristic.

34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
30
The categories of this paper are: q-alg