Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On disjoint matchings in cubic graphs   For $i=2,3$ and a cubic graph $G$ let $\nu_{i}(G)$ denote the maximum number
of edges that can be covered by $i$ matchings. We show that $\nu_{2}(G)\geq
{4/5}| V(G)| $ and $\nu_{3}(G)\geq {7/6}| V(G)| $. Moreover, it turns out that
$\nu_{2}(G)\leq \frac{|V(G)|+2\nu_{3}(G)}{4}$.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph