Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic Traffic Flow in a Hyperbolic Network: Non-uniform Traffic   In this work we study the asymptotic traffic flow in Gromov's hyperbolic
graphs when the traffic decays exponentially with the distance. We prove that
under general conditions, there exists a phase transition between local and
global traffic. More specifically, assume that the traffic rate between two
nodes $u$ and $v$ is given by $R(u,v)=\beta^{-d(u,v)}$ where $d(u,v)$ is the
distance between the nodes. Then there exists a constant $\beta_c$ that depends
on the geometry of the network such that if $1<\beta<\beta_c$ the traffic is
global and there is a small set of highly congested nodes called the core.
However, if $\beta>\beta_c$ then the traffic is essentially local and the core
is empty which implies very small congestion.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph