Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the cycle structure of hamiltonian k-regular bipartite graphs of
  order 4k   It is shown that a hamiltonian $n/2$-regular bipartite graph $G$ of order
$2n>8$ contains a cycle of length $2n-2$. Moreover, if such a cycle can be
chosen to omit a pair of adjacent vertices, then $G$ is bipancyclic.

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas