Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximating Optimization Problems using EAs on Scale-Free Networks   It has been observed that many complex real-world networks have certain
properties, such as a high clustering coefficient, a low diameter, and a
power-law degree distribution. A network with a power-law degree distribution
is known as scale-free network. In order to study these networks, various
random graph models have been proposed, e.g. Preferential Attachment, Chung-Lu,
or Hyperbolic.
  We look at the interplay between the power-law degree distribution and the
run time of optimization techniques for well known combinatorial problems. We
observe that on scale-free networks, simple evolutionary algorithms (EAs)
quickly reach a constant-factor approximation ratio on common covering problems
  We prove that the single-objective (1+1)EA reaches a constant-factor
approximation ratio on the Minimum Dominating Set problem, the Minimum Vertex
Cover problem, the Minimum Connected Dominating Set problem, and the Maximum
Independent Set problem in expected polynomial number of calls to the fitness
function.
  Furthermore, we prove that the multi-objective GSEMO algorithm reaches a
better approximation ratio than the (1+1)EA on those problems, within
polynomial fitness evaluations.

27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg