Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A sufficient condition for a balanced bipartite digraph to be
  hamiltonian   We describe a new type of sufficient condition for a balanced bipartite
digraph to be hamiltonian. Let $D$ be a balanced bipartite digraph and $x,y$ be
distinct vertices in $D$. $\{x, y\}$ dominates a vertex $z$ if $x\rightarrow z$
and $y\rightarrow z$; in this case, we call the pair $\{x, y\}$ dominating. In
this paper, we prove that a strong balanced bipartite digraph $D$ on $2a$
vertices contains a hamiltonian cycle if, for every dominating pair of vertices
$\{x, y\}$, either $d(x)\ge 2a-1$ and $d(y)\ge a+1$ or $d(x)\ge a+1$ and
$d(y)\ge 2a-1$. The lower bound in the result is sharp.

6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin