Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matrix Representations of Transversal Matroids   A transversal matroid $M$ of rank $r$ on $[n]$ can be associated to a family
of binary matrices corresponding to different presentations of $M$. We describe
those matrices which arise from unique maximal presentations of size $r$-
giving a complete characterization when $r=2$-, give an algorithm for producing
such a matrix, and show that determining whether a matrix corresponds to a
maximal presentation is related to determining the tropical rank of arbitrary
matrices.

18
The categories of this paper are: econ
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess