Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some applications of Wagner's weighted subgraph counting polynomial   We use Wagner's weighted subgraph counting polynomial to prove that the
partition function of the anti-ferromagnetic Ising model on line graphs is real
rooted and to prove that roots of the edge cover polynomial have length at most
$4$. We moreover discuss how our results relate to efficient algorithms for
approximately computing evaluations of these polynomials.

17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat