Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Power of Simple Reductions for the Maximum Independent Set
  Problem   Reductions---rules that reduce input size while maintaining the ability to
compute an optimal solution---are critical for developing efficient maximum
independent set algorithms in both theory and practice. While several simple
reductions have previously been shown to make small domain-specific instances
tractable in practice, it was only recently shown that advanced reductions (in
a measure-and-conquer approach) can be used to solve real-world networks on
millions of vertices [Akiba and Iwata, TCS 2016]. In this paper we compare
these state-of-the-art reductions against a small suite of simple reductions,
and come to two conclusions: just two simple reductions---vertex folding and
isolated vertex removal---are sufficient for many real-world instances, and
further, the power of the advanced rules comes largely from their initial
application (i.e., kernelization), and not their repeated application during
branch-and-bound. As a part of our comparison, we give the first experimental
evaluation of a reduction based on maximum critical independent sets, and show
it is highly effective in practice for medium-sized networks.

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The categories of this paper are: cond-mat
16
The categories of this paper are: stat
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: q-alg