Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Family of Tetravalent Half-transitive Graphs   In this paper, we introduce a new family of graphs, $\Gamma(n,a)$. We show
that it is an infinite family of tetravalent half-transitive Cayley graphs.
Apart from that, we determine some structural properties of $\Gamma(n,a)$.

16
The categories of this paper are: stat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio