Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disjoint type graphs with no short odd cycles   In this note, we provide a proof of a technical result of Erd\H{o}s and
Hajnal about the existence of disjoint type graphs with no odd cycles. We also
prove that this result is sharp in a certain sense.

12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc