Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On an optimal constraint aggregation method for integer programming and
  on an analytic expression of the number of integer points in a polytope   In this paper we give a new aggregation framework for linear Diophantine
equations. In particular, we prove that an aggregated system of minimum size
can be built in polynomial time. We also derive an analytic formula that gives
the number of solutions of the system when it is possible to aggregate the
system into one equation.

30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex