Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimers and the Ising model   We present a innovative relationship between ground states of the Ising model
and dimer coverings which sheds new light on the Ising Models with highly
degenerated ground states and enables one to construct such models. Thanks to
this relationship we also find the generating function for dimers as the
appropriate limit of the free energy per spin for the Ising model.

8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an