Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Ramsey number of even wheels versus stars   For two graphs $G_1$ and $G_2$ the Ramsey number $R(G_1,G_2)$ is the smallest
integer $N$, such that for any graph on $N$ vertices either $G$ contains $G_1$
or $\overline{G}$ contains $G_2$. Let $S_n$ be a star of order $n$ and $W_m$ be
a wheel of order $m+1$. In this paper, it is shown that
$R(W_n,S_n)\leq{5n/2-1}$, where $n\geq{6}$ is even. It was proven a theorem
which implies that $R(W_n,S_n)\geq{5n/2-2}$, where $n\geq{6}$ is even.
Therefore we conclude that $R(W_n,S_n)=5n/2-2$ or $5n/2-1$, for $n\geq{6}$ and
even.

13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin