Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gallai-Ramsey numbers for graphs with five vertices of chromatic number
  four   Given a graph $H$ and an integer $k\ge1$, the Gallai-Ramsey number $GR_k(H)$
is defined to be the minimum integer $n$ such that every $k$-edge coloring of
$K_n$ contains either a rainbow (all different colored) triangle or a
monochromatic copy of $H$. In this paper, we determine the Gallai-Ramsey
numbers for connected graphs with five vertices of chromatic number four.

10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex