Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricted Color $n$-color Compositions   Agarwal introduced $n$-color compositions in 2000 and most subsequent
research has focused on restricting which parts are allowed. Here we focus
instead on restricting allowed colors. After three general results, giving
recurrence formulas for the cases of given allowed colors, given prohibited
colors, and colors satisfying modular conditions, we consider several more
specific conditions, establishing direct formulas and connections to other
combinatorial objects. Proofs are combinatorial, mostly using the notion of
spotted tilings introduced by the first named author in 2012.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat