Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new method for enumerating independent sets of a fixed size in general
  graphs   We develop a new method for enumerating independent sets of a fixed size in
general graphs, and we use this method to show that a conjecture of Engbers and
Galvin holds for all but finitely many graphs. We also use our method to prove
special cases of a conjecture of Kahn. In addition, we show that our method is
particularly useful for computing the number of independent sets of small sizes
in general regular graphs and Moore graphs, and we argue that it can be used in
many other cases when dealing with graphs that have numerous structural
restrictions.

15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio