Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regular embeddings of complete bipartite graphs: classification and
  enumeration   The regular embeddings of complete bipartite graphs $K_{n,n}$ in orientable
surfaces are classified and enumerated, and their automorphism groups and
combinatorial properties are determined. The method depends on earlier
classifications in the cases where $n$ is a prime power, obtained in
collaboration with Du, Kwak, Nedela and \v{S}koviera, together with results of
It\^o, Hall, Huppert and Wielandt on factorisable groups and on finite solvable
groups.

29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
18
The categories of this paper are: econ