Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comment on ``Small-world networks: Evidence for a crossover picture''   In a recent letter (cond-mat/9903108), Barthelemy and Nunes Amaral discuss
the crossover phenomenon between regular and ``small-world'' networks, as a
function of the network size $n$ and of the disorder $p$. They claim that the
average distance $\ell$ between vertices of the network scales with $n / n^*$,
with $n^*(p \ll 1) sim p^{-\tau}$ and $\tau \approx 2/3$. We show analytically
that $\tau$ cannot be lower than 1 and perform numerical simulations showing
that $\tau = 1$.

17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio