Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The circular $k$-partite crossing number of $K_{m,n}$   We define a new kind of crossing number which generalizes both the bipartite
crossing number and the outerplanar crossing number. We calculate exact values
of this crossing number for many complete bipartite graphs and also give a
lower bound.

22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin