Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the polyhedron of the K-partitioning problem with representative
  variables   The K-partitioning problem consists of partitioning the vertices of a graph
in K sets so as to minimize a function of the edge weights. We introduce a
linear mixed integer formulation with edge variables and representative
variables. We consider the corresponding polyhedron and show which inequalities
are facet-defining. We study several families of facet-defining inequalities
and provide experimental results showing that they improve significantly the
linear relaxation of our formulation.

33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ