\documentclass{article} 
\usepackage{tikz}
\begin{document} 
\begin{center}
\begin{center}  
\begin{tikzpicture} 
[scale=0.2,every node/.style={circle,fill=black,inner sep=0pt},very thick]
\node [label=below:{\normalsize $y_{0}$},text width=0.7mm] (n1) at (-10,2) {};
\node [label=below:{\normalsize $y_{1}$},text width=0.7mm] (n2) at (-5,5) {};
\node [label=below:{\normalsize},text width=0.7mm] (n3) at (0,4) {}; 
\node [label=below:{\normalsize},text width=0.7mm] (n4) at (20,0) {}; 
\node [label=below:{\normalsize $y_{n-1}$},text width=0.7mm] (n5) at (25,5) {};
\node [label=below:{\normalsize $y_{n}$},text width=0.7mm] (n6) at (40,0) {};

\foreach \from/\to in 
{} \draw (\from) -- (\to);
\draw (n1) to [bend right] (n2); 
\draw (n2) to [bend right] (n3);
\draw (n3) to [bend right] (n4);
\draw (n4) to [bend right] (n5);
\draw (n5) to [bend right] (n6);
\end{tikzpicture} 
\end{center}
\end{document}