%\begin{figure}[h!]
\subfigure{
\begin{tikzpicture}[scale=0.8,font=\small]
\node (a) at (0,0) [fill,circle,inner sep=1pt] {};
\draw (0,0) circle (1.25cm);
\foreach \x in {-144,-72,0,72,144} {
   \begin{scope}[rotate=\x]
    \node (\x) at (0,-1.25) [fill,circle,inner sep=1pt] {};
   \end{scope}
}
%\draw (a) node [above] {$0$};
\draw (-72) node [left] {$v_2$};
\draw (0) node [below] {$v_3$};
\draw (72) node [right] {$v_4$};
\draw (144) node [above right] {$v_5$};
\draw (-144) node [above left] {$v_1$};

\draw[thin] (a) to (-144);
\draw[thin] (a) to (72);
%\draw[thin,opacity=0.5,out=-140,in=-80] (0.2,-0.2) to (-144);
%\draw[thin,opacity=0.5,out=-30,in=40] (-144) to  (0.2,-0.2);
\draw[thin,out=110,in=0] (72) to  (-144);
\draw[thin,out=-110,in=130] (-144) to (0);
\draw[thin,out=-170,in=-45] (72) to (-0.3,-0.3) ;
\draw[thin,out=135,in=-90] (-0.3,-0.3) to(-144);

\fill(-.2,0.65) node[] {\tiny{$\tau_1$}};
\fill(-.7,-.6) node[] {\tiny{$\tau_2$}};
\fill(.2,-.7) node[] {\tiny{$\tau_3$}};
\fill(.6,0) node[] {\tiny{$\tau_4$}};
\fill(.85,.6) node[] {\tiny{$\tau_5$}};

\fill(3,-0.5) node[] {$\rightsquigarrow$};
\end{tikzpicture}

\quad

		\begin{tikzpicture}[scale = .4]
		\tikzstyle{every node} = [font = \small]
		\foreach \x in {0}
		{
			\foreach \y in {-8}
			{
				\draw[->] (\x-7,\y-3) -- (\x+6,\y-3);
			
				\foreach \t in {-6,-4,-2,0,2,4}
				{
					\fill (\x+\t,\y-3) circle (.1);
				}

				\fill (\x-6,\y-3) node [below] {$v_1$};
				\fill (\x-4,\y-3) node [below] {$v_2$};
				\fill (\x-2,\y-3) node [below] {$v_3$};
				\fill (\x+0,\y-3) node [below] {$v_4$};
				\fill (\x+2,\y-3) node [below] {$v_5$};
				\fill (\x+4,\y-3) node [below] {$v_1$};
				
				\Prufer{\x-6}{\y-3}{12}{}
				\fill (\x-6,\y-1.5) node [right] {\tiny{$\tau_1$}};
				\draw[] (\x-6,\y-3) .. controls (\x-5,\y-2) and (\x-3,\y-2) .. (\x-2,\y-3);
				\fill (\x-2.3,\y-2.9) node [above] {\tiny{$\tau_2$}};
				\draw[] (\x-6,\y-3) .. controls (\x-4.5,\y-1.25) and (\x-1.5,\y-1.25) .. (\x-0,\y-3);
				\fill (\x-3,\y-1.8) node [above] {\tiny{$\tau_3$}};
				\Prufer{\x-0}{\y-3}{6}{}
				\fill (\x-0,\y-1.5) node [right] {\tiny{$\tau_4$}};	
				\draw[] (\x+0,\y-3) .. controls (\x+1,\y-2) and (\x+3,\y-2) .. (\x+4,\y-3);
				\fill (\x+2,\y-2.4) node [above] {\tiny{$\tau_5$}};	
				\Prufer{\x+4}{\y-3}{2}{}
				\fill (\x+4,\y-1.5) node [right] {\tiny{$\tau_1$}};	
			}
		}	
		\end{tikzpicture}
		}	
%		\end{figure}