Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal cube factors of Fibonacci and matchable Lucas cubes   The optimal cube factor of a graph, a special kind of component factor, is
first introduced. Furthermore, the optimal cube factors of Fibonacci and
matchable Lucas cubes are studied; and some results on the Padovan sequence and
binomial coefficients are obtained.

30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph