Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting primitive subsets and other statistics of the divisor graph of
  $\{1,2, \ldots n\}$   Let $Q(n)$ denote the count of the primitive subsets of the integers
$\{1,2\ldots n\}$. We give a new proof that $Q(n) = \alpha^{(1+o(1))n}$ which
allows us to give a good error term and to improve upon the lower bound for the
value of this constant $\alpha$. We also show that the method developed can be
applied to many similar problems that can be stated in terms of the divisor
graph, including other questions about primitive sets,
geometric-progression-free sets, and the divisor graph path-cover problem.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con