\begin{tikzpicture}%
\begin{scope}%[xshift=10cm,yshift=0cm]
	\node [below left] at (0.4,-0.2) {$\emptyset=S_0$};
	\node [below] at (1,-0.2) {$T^L_{1,1}$};
	\node [below] at (2,-0.2) {$T^L_{1,2}$};
	\node [below] at (3,-0.2) {$S_1$};
	\node [below] at (4,-0.2) {$T^R_{1,3}$};
	\node [below] at (5,-0.2) {$T^R_{1,2}$};
	\node [below] at (6,-0.2) {$T^R_{1,1}$};
	\node [below] at (7,-0.2) {$T^L_{2,1}$};
	\node [below] at (8,-0.2) {$T^L_{2,2}$};
	\node [below] at (9,-0.2) {$S_2$};
	\node [below] at (10,-0.2) {$T^R_{2,1}$};
	\node [below right] at (10.6,-0.2) {$S_3=[d+1]$};
	

	
  \tikzstyle{every node}=[circle, fill, draw, inner sep=1pt,scale=0.5]

%\tikzstyle{every node}=[circle, draw, inner sep=1pt,scale=0.8]
    \node (i0) at (0,0) {0};
    \node (i1) at (1,0) {1};
    \node (i2) at (2,0) {2};
    \node (i3) at (3,0) {3};
    \node (i4) at (4,0) {4};
    \node (i5) at (5,0) {5};
    \node (i6) at (6,0) {6};
    \node (i7) at (7,0) {7};
    \node (i8) at (8,0) {8};
    \node (i9) at (9,0) {9};
    \node (j1) at (10,0) {1};
    \node (j2) at (11,0) {1};

    \draw [thick] (i3) to[out=150, in=30] (i2);
    \draw [thick] (i3) to[out=120, in=60] (i1);
    \draw [thick] (i3) to[out=30, in=150] (i4);
    \draw [thick] (i3) to[out=60, in=120] (i5);
    \draw [thick] (i3) to[out=75, in=105] (i6);
    \draw [thick] (i9) to[out=150, in=30] (i8);
    \draw [thick] (i9) to[out=120, in=60] (i7);
    \draw [thick] (i9) to[out=30, in=150] (j1);   
    
    \draw [thick] (3,0) circle [radius=0.2]; 
	\draw [thick] (9,0) circle [radius=0.2]; 
	
	
	\draw [thick] (0,0) circle [radius=0.2]; 
	\draw [thick] (11,0) circle [radius=0.2];  
	

	
	
\end{scope}

 \end{tikzpicture}
