Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatial networks evolving to reduce length   Motivated by results of Henry, Pralat and Zhang (PNAS 108.21 (2011):
8605-8610), we propose a general scheme for evolving spatial networks in order
to reduce their total edge lengths. We study the properties of the equilbria of
two networks from this class, which interpolate between three well studied
objects: the Erd\H{o}s-R\'{e}nyi random graph, the random geometric graph, and
the minimum spanning tree. The first of our two evolutions can be used as a
model for a social network where individuals have fixed opinions about a number
of issues and adjust their ties to be connected to people with similar views.
The second evolution which preserves the connectivity of the network has
potential applications in the design of transportation networks and other
distribution systems.

34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an