Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long paths and Hamiltonicity in random graphs   We discuss several classical results about long paths and Hamilton cycles in
random graphs and present accessible versions of their proofs, relying on the
Depth First Search (DFS) algorithm and the notion of boosters.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat