Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Presentations of diagram categories   We describe the planar rook category, the rook category, the rook-Brauer
category, and the Motzkin category in terms of generators and relations. We
show that the morphism spaces of these categories have linear bases given by
planar rook diagrams, rook diagrams, rook-Brauer diagrams, and Motzkin
diagrams.

25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin