Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum uniformly resolvable decompositions of $K_v$ and $K_v - I$ into
  3-stars and 3-cycles   Let $K_v$ denote the complete graph of order $v$ and $K_v - I$ denote $K_v$
minus a 1-factor. In this article we investigate uniformly resolvable
decompositions of $K_v$ and $K_v-I$ into $r$ classes containing only copies of
$3$-stars and $s$ classes containing only copies of $3$-cycles. We completely
determine the spectrum in the case where the number of resolution classes of
3-stars is maximum.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th