Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General Structural Results for Potts Model Partition Functions on
  Lattice Strips   We present a set of general results on structural features of the $q$-state
Potts model partition function $Z(G,q,v)$ for arbitrary $q$ and temperature
Boltzmann variable $v$ for various lattice strips of arbitrarily great width
$L_y$ vertices and length $L_x$ vertices, including (i) cyclic and M\"obius
strips of the square and triangular lattice, and (ii) self-dual cyclic strips
of the square lattice. We also present an exact solution for the chromatic
polynomial for the cyclic and M\"obius strips of the square lattice with width
$L_y=5$ (the greatest width for which an exact solution has been obtained so
far for these families). In the $L_x \to \infty$ limit, we calculate the
ground-state degeneracy per site, $W(q)$ and determine the boundary ${\cal B}$
across which $W(q)$ is singular in the complex $q$ plane.

16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci