Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A limit theorem for the six-length of random functional graphs with a
  fixed degree sequence   We obtain results on the limiting distribution of the six-length of a random
functional graph, also called a functional digraph or random mapping, with
given in-degree sequence. The six-length of a vertex $v\in V$ is defined from
the associated mapping, $f:V\to V$, to be the maximum $i\in V$ such that the
elements $v, f(v), \ldots, f^{i-1}(v)$ are all distinct. This has relevance to
the study of algorithms for integer factorisation.

3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org