Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How to partition or count an abstract simplicial complex, given its
  facets   Given are the facets of an abstract (finite) simplicial complex SC. We show
how to partition SC into few pieces, each one compactly encoded by the use of
wildcards. Such a representation is useful for the optimization of a target
function SC -> Z, as well as in combinatorial commutative algebra and Frequent
Set Mining. Merely calculating the face-numbers of SC can be done faster than
partitioning SC. Our method compares favorably to inclusion-exclusion and
binary decision diagram

36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat