Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The 6-girth-thickness of the complete graph   The $g$-girth-thickness $\theta(g,G)$ of a graph $G$ is the minimum number of
planar subgraphs of girth at least $g$ whose union is $G$. In this paper, we
determine the $6$-girth-thickness $\theta(6,K_n)$ of the complete graph $K_n$
in almost all cases. And also, we calculate by computer the missing value of
$\theta(4,K_n)$.

37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom