Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ramsey numbers of trails and circuits   We show that every two-colouring of the edges of the complete graph $K_n$
contains a monochromatic trail or circuit of length at least $2n^2/9 +o(n^2)$,
which is asymptotically best possible.

13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn