Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on $\{k,n-k\}$-Factors of Regular Graphs   Let $r$ be an odd integer, and $k$ an even integer. In this note, we present
$r$-regular graphs which have no $\{k,r-k\}$-factors for all $1\le k\le
{r\over2}-1$. This gives a negative answer to a problem posed by Akbari and
Kano recently.

13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th