Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spanning Trees on the Two-Dimensional Lattices with More Than One Type
  of Vertex   For a two-dimensional lattice $\Lambda$ with $n$ vertices, the number of
spanning trees $N_{ST}(\Lambda)$ grows asymptotically as $\exp(n z_\Lambda)$ in
the thermodynamic limit. We present exact integral expression and numerical
value for the asymptotic growth constant $z_\Lambda$ for spanning trees on
various two-dimensional lattices with more than one type of vertex given in
\cite{Okeeffe}. An exact closed-form expression for the asymptotic growth
constant is derived for net 14, and the asymptotic growth constants of net 27
and the triangle lattice have the simple relation $z_{27} = (z_{tri}+\ln 4)/4$.
Some integral identities are also obtained.

9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph