Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Paired 3-disjoint path covers of balanced hypercubes   The balanced hypercube $BH_{n}$, proposed by Wu and Huang, is a variation of
the hypercube. The paired 1-disjoint path cover of $BH_{n}$ is the Hamiltonian
laceability, which was obtained by Xu et al. in [Appl. Math. Comput. 189 (2007)
1393--1401]. The paired 2-disjoint path cover of $BH_{n}$ was obtained by Cheng
et al. in [Appl. Math. and Comput. 242 (2014) 127-142]. In this paper, we
obtain the paired 3-disjoint path cover of $BH_{n}$ with $n\geq 3$. This result
improves the above known results about the paired $k$-disjoint path covers of
$BH_{n}$ for $k=1,2$.

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The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol