Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transformations of partial matchings   We consider partial matchings, which are finite graphs consisting of edges
and vertices of degree zero or one. We consider transformations between two
states of partial matchings. We introduce a method of presenting a
transformation between partial matchings. We introduce the notion of the
lattice presentation of a partial matching, and the lattice polytope associated
with a pair of lattice presentations, and we investigate transformations with
minimal area.

23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn