Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Packing Plane Perfect Matchings into a Point Set   Given a set $P$ of $n$ points in the plane, where $n$ is even, we consider
the following question: How many plane perfect matchings can be packed into
$P$? We prove that at least $\lceil\log_2{n}\rceil-2$ plane perfect matchings
can be packed into any point set $P$. For some special configurations of point
sets, we give the exact answer. We also consider some extensions of this
problem.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph