Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the maximum number of five-cycles in a triangle-free graph   Using Razborov's flag algebras we show that a triangle-free graph on n
vertices contains at most (n/5)^5 cycles of length five. It settles in the
affirmative a conjecture of Erdos.

15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas