Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Minimum Dominating Set problem is polynomial for (claw, P8)-free
  graphs   We prove that the Minimum Dominating Set problem is polynomial for the class
of (claw, P8)-free graphs.

10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn