Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grid graphs, Gorenstein polytopes, and domino stackings   We examine domino tilings of rectangular boards, which are in natural
bijection with perfect matchings of grid graphs. This leads to the study of
their associated perfect matching polytopes, and we present some of their
properties, in particular, when these polytopes are Gorenstein. We also
introduce the notion of domino stackings and present some results and several
open questions. Our techniques use results from graph theory, polyhedral
geometry, and enumerative combinatorics.

15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas