Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Upper Bound for the Ramsey Number of Fans   A fan $F_n$ is a graph consisting of $n$ triangles, all having precisely one
common vertex. Currently, the best known bounds for the Ramsey number $R(F_n)$
are $9n/2-5 \leq R(F_n) \leq 11n/2+6$, obtained by Chen, Yu and Zhao. We
improve the upper bound to $31n/6+O(1)$.

20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex