Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on nearly platonic graphs   A nearly platonic graph is a k-regular simple planar graph in which all but a
small number of the faces have the same degree. We show that it is impossible
for a finite graph to have exactly one disparate face, and offer some
conjectures, including the conjecture that graphs with two disparate faces come
in a small set of families.

16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics