Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Balanced power diagrams for redistricting   We propose a method for redistricting, decomposing a geographical area into
subareas, called districts, so that the populations of the districts are as
close as possible and the districts are compact and contiguous. Each district
is the intersection of a polygon with the geographical area. The polygons are
convex and the average number of sides per polygon is less than six. The
polygons tend to be quite compact. With each polygon is associated a center.
The center is the centroid of the locations of the residents associated with
the polygon. The algorithm can be viewed as a heuristic for finding centers and
a balanced assignment of residents to centers so as to minimize the sum of
squared distances of residents to centers; hence the solution can be said to
have low dispersion.

22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ