Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice structure of the random stable set in many-to-many matching
  market   For a many-to-many matching market, we study the lattice structure of the set
of random stable matchings. We define a partial order on the random stable set
and present two intuitive binary operations to compute the least upper bound
and the greatest lower bound for each side of the matching market. Then, we
prove that with these binary operations the set of random stable matchings
forms two dual lattices.

10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess