Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The transition matroid of a 4-regular graph: an introduction   Given a 4-regular graph $F$, we introduce a binary matroid $M_{\tau}(F)$ on
the set of transitions of $F$. Parametrized versions of the Tutte polynomial of
$M_{\tau}(F)$ yield several well-known graph and knot polynomials, including
the Martin polynomial, the homflypt polynomial, the Kauffman polynomial and the
Bollob\'as-Riordan polynomial.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess