Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theoretical challenges towards cutting-plane selection   While many classes of cutting-planes are at the disposal of integer
programming solvers, our scientific understanding is far from complete with
regards to cutting-plane selection, i.e., the task of selecting a portfolio of
cutting-planes to be added to the LP relaxation at a given node of the
branch-and-bound tree. In this paper we review the different classes of
cutting-planes available, known theoretical results about their relative
strength, important issues pertaining to cut selection, and discuss some
possible new directions to be pursued in order to accomplish cutting-plane
selection in a more principled manner. Finally, we review some lines of work
that we undertook to provide a preliminary theoretical underpinning for some of
the issues related to cut selection.

22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph